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Finding the Fourth Proportional to 22,924.88, 34,387.78 and 7,342.46

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Solution

The fourth proportional to 22,924.88, 34,387.78 and 7,342.46 is: 11,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,924.88 : 34,387.78 = 7,342.46 : x
  2. Step 2: Convert to fraction form
    22,924.88/34,387.78 = 7,342.46/x
  3. Step 3: Cross multiply
    22,924.88x = 34,387.78 × 7,342.46
  4. Step 4: Simplify right side
    22,924.88x = 252,490,899.14
  5. Step 5: Solve for x
    x = 252,490,899.14/22,924.88
  6. Step 6: Final answer
    x = 11,013.84

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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.