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Finding the Fourth Proportional to 22,877.02, 34,308.24 and 7,291

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Solution

The fourth proportional to 22,877.02, 34,308.24 and 7,291 is: 10,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.02 : 34,308.24 = 7,291 : x
  2. Step 2: Convert to fraction form
    22,877.02/34,308.24 = 7,291/x
  3. Step 3: Cross multiply
    22,877.02x = 34,308.24 × 7,291
  4. Step 4: Simplify right side
    22,877.02x = 250,141,377.84
  5. Step 5: Solve for x
    x = 250,141,377.84/22,877.02
  6. Step 6: Final answer
    x = 10,934.18

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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.