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Finding the Fourth Proportional to 20,932.58, 31,372.11 and 9,814.74

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Solution

The fourth proportional to 20,932.58, 31,372.11 and 9,814.74 is: 14,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932.58 : 31,372.11 = 9,814.74 : x
  2. Step 2: Convert to fraction form
    20,932.58/31,372.11 = 9,814.74/x
  3. Step 3: Cross multiply
    20,932.58x = 31,372.11 × 9,814.74
  4. Step 4: Simplify right side
    20,932.58x = 307,909,102.90
  5. Step 5: Solve for x
    x = 307,909,102.90/20,932.58
  6. Step 6: Final answer
    x = 14,709.57

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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.