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Finding the Fourth Proportional to 19,665.30, 29,517.15 and 9,815.70

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Solution

The fourth proportional to 19,665.30, 29,517.15 and 9,815.70 is: 14,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.30 : 29,517.15 = 9,815.70 : x
  2. Step 2: Convert to fraction form
    19,665.30/29,517.15 = 9,815.70/x
  3. Step 3: Cross multiply
    19,665.30x = 29,517.15 × 9,815.70
  4. Step 4: Simplify right side
    19,665.30x = 289,731,489.26
  5. Step 5: Solve for x
    x = 289,731,489.26/19,665.30
  6. Step 6: Final answer
    x = 14,733.13

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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.