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Finding the Fourth Proportional to 23,258.12, 34,898.71 and 9,217.84

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Solution

The fourth proportional to 23,258.12, 34,898.71 and 9,217.84 is: 13,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.12 : 34,898.71 = 9,217.84 : x
  2. Step 2: Convert to fraction form
    23,258.12/34,898.71 = 9,217.84/x
  3. Step 3: Cross multiply
    23,258.12x = 34,898.71 × 9,217.84
  4. Step 4: Simplify right side
    23,258.12x = 321,690,614.70
  5. Step 5: Solve for x
    x = 321,690,614.70/23,258.12
  6. Step 6: Final answer
    x = 13,831.33

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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.