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Finding the Fourth Proportional to 13,532, 20,280.18 and 5,731.16

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Solution

The fourth proportional to 13,532, 20,280.18 and 5,731.16 is: 8,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532 : 20,280.18 = 5,731.16 : x
  2. Step 2: Convert to fraction form
    13,532/20,280.18 = 5,731.16/x
  3. Step 3: Cross multiply
    13,532x = 20,280.18 × 5,731.16
  4. Step 4: Simplify right side
    13,532x = 116,228,956.41
  5. Step 5: Solve for x
    x = 116,228,956.41/13,532
  6. Step 6: Final answer
    x = 8,589.19

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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.