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Finding the Fourth Proportional to 14,617.80, 21,787.74 and 13,787.46

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Solution

The fourth proportional to 14,617.80, 21,787.74 and 13,787.46 is: 20,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.80 : 21,787.74 = 13,787.46 : x
  2. Step 2: Convert to fraction form
    14,617.80/21,787.74 = 13,787.46/x
  3. Step 3: Cross multiply
    14,617.80x = 21,787.74 × 13,787.46
  4. Step 4: Simplify right side
    14,617.80x = 300,397,593.74
  5. Step 5: Solve for x
    x = 300,397,593.74/14,617.80
  6. Step 6: Final answer
    x = 20,550.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.