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Finding the Fourth Proportional to 13,712, 20,565.84 and 6,316.16

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Solution

The fourth proportional to 13,712, 20,565.84 and 6,316.16 is: 9,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712 : 20,565.84 = 6,316.16 : x
  2. Step 2: Convert to fraction form
    13,712/20,565.84 = 6,316.16/x
  3. Step 3: Cross multiply
    13,712x = 20,565.84 × 6,316.16
  4. Step 4: Simplify right side
    13,712x = 129,897,135.97
  5. Step 5: Solve for x
    x = 129,897,135.97/13,712
  6. Step 6: Final answer
    x = 9,473.25

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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.