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Finding the Fourth Proportional to 12,672.98, 19,013.12 and 6,432.74

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Solution

The fourth proportional to 12,672.98, 19,013.12 and 6,432.74 is: 9,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,672.98 : 19,013.12 = 6,432.74 : x
  2. Step 2: Convert to fraction form
    12,672.98/19,013.12 = 6,432.74/x
  3. Step 3: Cross multiply
    12,672.98x = 19,013.12 × 6,432.74
  4. Step 4: Simplify right side
    12,672.98x = 122,306,425.39
  5. Step 5: Solve for x
    x = 122,306,425.39/12,672.98
  6. Step 6: Final answer
    x = 9,650.96

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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.