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Finding the Fourth Proportional to 12,988.70, 19,493.94 and 6,752.54

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Solution

The fourth proportional to 12,988.70, 19,493.94 and 6,752.54 is: 10,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.70 : 19,493.94 = 6,752.54 : x
  2. Step 2: Convert to fraction form
    12,988.70/19,493.94 = 6,752.54/x
  3. Step 3: Cross multiply
    12,988.70x = 19,493.94 × 6,752.54
  4. Step 4: Simplify right side
    12,988.70x = 131,633,609.61
  5. Step 5: Solve for x
    x = 131,633,609.61/12,988.70
  6. Step 6: Final answer
    x = 10,134.47

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