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Finding the Fourth Proportional to 20,950.48, 31,414.08 and 9,693.52

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Solution

The fourth proportional to 20,950.48, 31,414.08 and 9,693.52 is: 14,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950.48 : 31,414.08 = 9,693.52 : x
  2. Step 2: Convert to fraction form
    20,950.48/31,414.08 = 9,693.52/x
  3. Step 3: Cross multiply
    20,950.48x = 31,414.08 × 9,693.52
  4. Step 4: Simplify right side
    20,950.48x = 304,513,012.76
  5. Step 5: Solve for x
    x = 304,513,012.76/20,950.48
  6. Step 6: Final answer
    x = 14,534.89

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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.