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Finding the Fourth Proportional to 19,943.43, 29,915.14 and 9,409.98

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Solution

The fourth proportional to 19,943.43, 29,915.14 and 9,409.98 is: 14,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,943.43 : 29,915.14 = 9,409.98 : x
  2. Step 2: Convert to fraction form
    19,943.43/29,915.14 = 9,409.98/x
  3. Step 3: Cross multiply
    19,943.43x = 29,915.14 × 9,409.98
  4. Step 4: Simplify right side
    19,943.43x = 281,500,869.10
  5. Step 5: Solve for x
    x = 281,500,869.10/19,943.43
  6. Step 6: Final answer
    x = 14,114.97

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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.