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Finding the Fourth Proportional to 22,253.07, 33,391.12 and 9,781.84

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Solution

The fourth proportional to 22,253.07, 33,391.12 and 9,781.84 is: 14,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,253.07 : 33,391.12 = 9,781.84 : x
  2. Step 2: Convert to fraction form
    22,253.07/33,391.12 = 9,781.84/x
  3. Step 3: Cross multiply
    22,253.07x = 33,391.12 × 9,781.84
  4. Step 4: Simplify right side
    22,253.07x = 326,626,593.26
  5. Step 5: Solve for x
    x = 326,626,593.26/22,253.07
  6. Step 6: Final answer
    x = 14,677.82

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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.