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Finding the Fourth Proportional to 13,513.92, 20,257.05 and 7,658.16

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Solution

The fourth proportional to 13,513.92, 20,257.05 and 7,658.16 is: 11,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.92 : 20,257.05 = 7,658.16 : x
  2. Step 2: Convert to fraction form
    13,513.92/20,257.05 = 7,658.16/x
  3. Step 3: Cross multiply
    13,513.92x = 20,257.05 × 7,658.16
  4. Step 4: Simplify right side
    13,513.92x = 155,131,730.03
  5. Step 5: Solve for x
    x = 155,131,730.03/13,513.92
  6. Step 6: Final answer
    x = 11,479.40

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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.