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Finding the Fourth Proportional to 25,228.24, 37,842.40 and 8,588.40

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Solution

The fourth proportional to 25,228.24, 37,842.40 and 8,588.40 is: 12,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,228.24 : 37,842.40 = 8,588.40 : x
  2. Step 2: Convert to fraction form
    25,228.24/37,842.40 = 8,588.40/x
  3. Step 3: Cross multiply
    25,228.24x = 37,842.40 × 8,588.40
  4. Step 4: Simplify right side
    25,228.24x = 325,005,668.16
  5. Step 5: Solve for x
    x = 325,005,668.16/25,228.24
  6. Step 6: Final answer
    x = 12,882.61

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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.