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Finding the Fourth Proportional to 17,874.60, 24,665.33 and 9,916.80

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Solution

The fourth proportional to 17,874.60, 24,665.33 and 9,916.80 is: 13,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.60 : 24,665.33 = 9,916.80 : x
  2. Step 2: Convert to fraction form
    17,874.60/24,665.33 = 9,916.80/x
  3. Step 3: Cross multiply
    17,874.60x = 24,665.33 × 9,916.80
  4. Step 4: Simplify right side
    17,874.60x = 244,601,094.96
  5. Step 5: Solve for x
    x = 244,601,094.96/17,874.60
  6. Step 6: Final answer
    x = 13,684.28

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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.