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Finding the Fourth Proportional to 13,916.40, 20,874.60 and 9,761.10

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Solution

The fourth proportional to 13,916.40, 20,874.60 and 9,761.10 is: 14,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.40 : 20,874.60 = 9,761.10 : x
  2. Step 2: Convert to fraction form
    13,916.40/20,874.60 = 9,761.10/x
  3. Step 3: Cross multiply
    13,916.40x = 20,874.60 × 9,761.10
  4. Step 4: Simplify right side
    13,916.40x = 203,759,058.06
  5. Step 5: Solve for x
    x = 203,759,058.06/13,916.40
  6. Step 6: Final answer
    x = 14,641.65

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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.