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Finding the Fourth Proportional to 25,561.64, 38,348.54 and 8,031.48

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Solution

The fourth proportional to 25,561.64, 38,348.54 and 8,031.48 is: 12,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,561.64 : 38,348.54 = 8,031.48 : x
  2. Step 2: Convert to fraction form
    25,561.64/38,348.54 = 8,031.48/x
  3. Step 3: Cross multiply
    25,561.64x = 38,348.54 × 8,031.48
  4. Step 4: Simplify right side
    25,561.64x = 307,995,532.04
  5. Step 5: Solve for x
    x = 307,995,532.04/25,561.64
  6. Step 6: Final answer
    x = 12,049.13

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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.