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Finding the Fourth Proportional to 19,685.10, 29,512.05 and 9,819.30

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Solution

The fourth proportional to 19,685.10, 29,512.05 and 9,819.30 is: 14,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.10 : 29,512.05 = 9,819.30 : x
  2. Step 2: Convert to fraction form
    19,685.10/29,512.05 = 9,819.30/x
  3. Step 3: Cross multiply
    19,685.10x = 29,512.05 × 9,819.30
  4. Step 4: Simplify right side
    19,685.10x = 289,787,672.57
  5. Step 5: Solve for x
    x = 289,787,672.57/19,685.10
  6. Step 6: Final answer
    x = 14,721.17

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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.