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Finding the Fourth Proportional to 13,614.24, 18,787.74 and 7,645.98

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Solution

The fourth proportional to 13,614.24, 18,787.74 and 7,645.98 is: 10,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.24 : 18,787.74 = 7,645.98 : x
  2. Step 2: Convert to fraction form
    13,614.24/18,787.74 = 7,645.98/x
  3. Step 3: Cross multiply
    13,614.24x = 18,787.74 × 7,645.98
  4. Step 4: Simplify right side
    13,614.24x = 143,650,684.29
  5. Step 5: Solve for x
    x = 143,650,684.29/13,614.24
  6. Step 6: Final answer
    x = 10,551.50

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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.