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Finding the Fourth Proportional to 22,381.20, 33,580.68 and 9,230.49

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Solution

The fourth proportional to 22,381.20, 33,580.68 and 9,230.49 is: 13,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.20 : 33,580.68 = 9,230.49 : x
  2. Step 2: Convert to fraction form
    22,381.20/33,580.68 = 9,230.49/x
  3. Step 3: Cross multiply
    22,381.20x = 33,580.68 × 9,230.49
  4. Step 4: Simplify right side
    22,381.20x = 309,966,130.93
  5. Step 5: Solve for x
    x = 309,966,130.93/22,381.20
  6. Step 6: Final answer
    x = 13,849.40

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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.