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Finding the Fourth Proportional to 13,708.91, 20,564.10 and 4,349.64

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Solution

The fourth proportional to 13,708.91, 20,564.10 and 4,349.64 is: 6,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.91 : 20,564.10 = 4,349.64 : x
  2. Step 2: Convert to fraction form
    13,708.91/20,564.10 = 4,349.64/x
  3. Step 3: Cross multiply
    13,708.91x = 20,564.10 × 4,349.64
  4. Step 4: Simplify right side
    13,708.91x = 89,446,431.92
  5. Step 5: Solve for x
    x = 89,446,431.92/13,708.91
  6. Step 6: Final answer
    x = 6,524.70

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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.