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Finding the Fourth Proportional to 12,982,693.70, 19,474,040.55 and 5,408,675.30

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Solution

The fourth proportional to 12,982,693.70, 19,474,040.55 and 5,408,675.30 is: 8,113,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982,693.70 : 19,474,040.55 = 5,408,675.30 : x
  2. Step 2: Convert to fraction form
    12,982,693.70/19,474,040.55 = 5,408,675.30/x
  3. Step 3: Cross multiply
    12,982,693.70x = 19,474,040.55 × 5,408,675.30
  4. Step 4: Simplify right side
    12,982,693.70x = 105,328,762,113,983.42
  5. Step 5: Solve for x
    x = 105,328,762,113,983.42/12,982,693.70
  6. Step 6: Final answer
    x = 8,113,012.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.