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Finding the Fourth Proportional to 19,520.27, 29,281.68 and 7,831.97

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Solution

The fourth proportional to 19,520.27, 29,281.68 and 7,831.97 is: 11,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,520.27 : 29,281.68 = 7,831.97 : x
  2. Step 2: Convert to fraction form
    19,520.27/29,281.68 = 7,831.97/x
  3. Step 3: Cross multiply
    19,520.27x = 29,281.68 × 7,831.97
  4. Step 4: Simplify right side
    19,520.27x = 229,333,092.90
  5. Step 5: Solve for x
    x = 229,333,092.90/19,520.27
  6. Step 6: Final answer
    x = 11,748.46

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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.