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Finding the Fourth Proportional to 20,400.31, 30,575.86 and 10,534.21

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Solution

The fourth proportional to 20,400.31, 30,575.86 and 10,534.21 is: 15,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.31 : 30,575.86 = 10,534.21 : x
  2. Step 2: Convert to fraction form
    20,400.31/30,575.86 = 10,534.21/x
  3. Step 3: Cross multiply
    20,400.31x = 30,575.86 × 10,534.21
  4. Step 4: Simplify right side
    20,400.31x = 322,092,530.17
  5. Step 5: Solve for x
    x = 322,092,530.17/20,400.31
  6. Step 6: Final answer
    x = 15,788.61

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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.