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Finding the Fourth Proportional to 22,306.92, 33,471.30 and 9,825.40

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Solution

The fourth proportional to 22,306.92, 33,471.30 and 9,825.40 is: 14,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.92 : 33,471.30 = 9,825.40 : x
  2. Step 2: Convert to fraction form
    22,306.92/33,471.30 = 9,825.40/x
  3. Step 3: Cross multiply
    22,306.92x = 33,471.30 × 9,825.40
  4. Step 4: Simplify right side
    22,306.92x = 328,868,911.02
  5. Step 5: Solve for x
    x = 328,868,911.02/22,306.92
  6. Step 6: Final answer
    x = 14,742.91

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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.