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Finding the Fourth Proportional to 17,874.40, 24,666.78 and 9,916.78

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Solution

The fourth proportional to 17,874.40, 24,666.78 and 9,916.78 is: 13,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.40 : 24,666.78 = 9,916.78 : x
  2. Step 2: Convert to fraction form
    17,874.40/24,666.78 = 9,916.78/x
  3. Step 3: Cross multiply
    17,874.40x = 24,666.78 × 9,916.78
  4. Step 4: Simplify right side
    17,874.40x = 244,615,030.57
  5. Step 5: Solve for x
    x = 244,615,030.57/17,874.40
  6. Step 6: Final answer
    x = 13,685.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.