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Finding the Fourth Proportional to 15,262.31, 22,914.72 and 7,872.08

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Solution

The fourth proportional to 15,262.31, 22,914.72 and 7,872.08 is: 11,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262.31 : 22,914.72 = 7,872.08 : x
  2. Step 2: Convert to fraction form
    15,262.31/22,914.72 = 7,872.08/x
  3. Step 3: Cross multiply
    15,262.31x = 22,914.72 × 7,872.08
  4. Step 4: Simplify right side
    15,262.31x = 180,386,394.44
  5. Step 5: Solve for x
    x = 180,386,394.44/15,262.31
  6. Step 6: Final answer
    x = 11,819.08

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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.