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Finding the Fourth Proportional to 21,314.20, 32,000.10 and 13,538.20

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Solution

The fourth proportional to 21,314.20, 32,000.10 and 13,538.20 is: 20,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.20 : 32,000.10 = 13,538.20 : x
  2. Step 2: Convert to fraction form
    21,314.20/32,000.10 = 13,538.20/x
  3. Step 3: Cross multiply
    21,314.20x = 32,000.10 × 13,538.20
  4. Step 4: Simplify right side
    21,314.20x = 433,223,753.82
  5. Step 5: Solve for x
    x = 433,223,753.82/21,314.20
  6. Step 6: Final answer
    x = 20,325.59

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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.