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Finding the Fourth Proportional to 13,787.24, 20,761.94 and 9,918.68

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Solution

The fourth proportional to 13,787.24, 20,761.94 and 9,918.68 is: 14,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.24 : 20,761.94 = 9,918.68 : x
  2. Step 2: Convert to fraction form
    13,787.24/20,761.94 = 9,918.68/x
  3. Step 3: Cross multiply
    13,787.24x = 20,761.94 × 9,918.68
  4. Step 4: Simplify right side
    13,787.24x = 205,931,039.04
  5. Step 5: Solve for x
    x = 205,931,039.04/13,787.24
  6. Step 6: Final answer
    x = 14,936.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.