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Finding the Fourth Proportional to 13,432.68, 20,130.62 and 10,143.08

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Solution

The fourth proportional to 13,432.68, 20,130.62 and 10,143.08 is: 15,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.68 : 20,130.62 = 10,143.08 : x
  2. Step 2: Convert to fraction form
    13,432.68/20,130.62 = 10,143.08/x
  3. Step 3: Cross multiply
    13,432.68x = 20,130.62 × 10,143.08
  4. Step 4: Simplify right side
    13,432.68x = 204,186,489.11
  5. Step 5: Solve for x
    x = 204,186,489.11/13,432.68
  6. Step 6: Final answer
    x = 15,200.73

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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.