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Finding the Fourth Proportional to 13,431.62, 20,147.62 and 4,666.74

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Solution

The fourth proportional to 13,431.62, 20,147.62 and 4,666.74 is: 7,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.62 : 20,147.62 = 4,666.74 : x
  2. Step 2: Convert to fraction form
    13,431.62/20,147.62 = 4,666.74/x
  3. Step 3: Cross multiply
    13,431.62x = 20,147.62 × 4,666.74
  4. Step 4: Simplify right side
    13,431.62x = 94,023,704.16
  5. Step 5: Solve for x
    x = 94,023,704.16/13,431.62
  6. Step 6: Final answer
    x = 7,000.18

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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.