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Finding the Fourth Proportional to 25,097.52, 37,623.24 and 8,670

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Solution

The fourth proportional to 25,097.52, 37,623.24 and 8,670 is: 12,997.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.52 : 37,623.24 = 8,670 : x
  2. Step 2: Convert to fraction form
    25,097.52/37,623.24 = 8,670/x
  3. Step 3: Cross multiply
    25,097.52x = 37,623.24 × 8,670
  4. Step 4: Simplify right side
    25,097.52x = 326,193,490.80
  5. Step 5: Solve for x
    x = 326,193,490.80/25,097.52
  6. Step 6: Final answer
    x = 12,997.04

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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.