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Finding the Fourth Proportional to 13,613.66, 18,787.17 and 7,645.76

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Solution

The fourth proportional to 13,613.66, 18,787.17 and 7,645.76 is: 10,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.66 : 18,787.17 = 7,645.76 : x
  2. Step 2: Convert to fraction form
    13,613.66/18,787.17 = 7,645.76/x
  3. Step 3: Cross multiply
    13,613.66x = 18,787.17 × 7,645.76
  4. Step 4: Simplify right side
    13,613.66x = 143,642,192.90
  5. Step 5: Solve for x
    x = 143,642,192.90/13,613.66
  6. Step 6: Final answer
    x = 10,551.33

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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.