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Finding the Fourth Proportional to 22,417.70, 33,614.40 and 9,255.20

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Solution

The fourth proportional to 22,417.70, 33,614.40 and 9,255.20 is: 13,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,417.70 : 33,614.40 = 9,255.20 : x
  2. Step 2: Convert to fraction form
    22,417.70/33,614.40 = 9,255.20/x
  3. Step 3: Cross multiply
    22,417.70x = 33,614.40 × 9,255.20
  4. Step 4: Simplify right side
    22,417.70x = 311,107,994.88
  5. Step 5: Solve for x
    x = 311,107,994.88/22,417.70
  6. Step 6: Final answer
    x = 13,877.78

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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.