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Finding the Fourth Proportional to 13,712.64, 20,565.87 and 6,309.98

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Solution

The fourth proportional to 13,712.64, 20,565.87 and 6,309.98 is: 9,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.64 : 20,565.87 = 6,309.98 : x
  2. Step 2: Convert to fraction form
    13,712.64/20,565.87 = 6,309.98/x
  3. Step 3: Cross multiply
    13,712.64x = 20,565.87 × 6,309.98
  4. Step 4: Simplify right side
    13,712.64x = 129,770,125.55
  5. Step 5: Solve for x
    x = 129,770,125.55/13,712.64
  6. Step 6: Final answer
    x = 9,463.54

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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.