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Finding the Fourth Proportional to 25,563.74, 38,349.48 and 8,031.92

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Solution

The fourth proportional to 25,563.74, 38,349.48 and 8,031.92 is: 12,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,563.74 : 38,349.48 = 8,031.92 : x
  2. Step 2: Convert to fraction form
    25,563.74/38,349.48 = 8,031.92/x
  3. Step 3: Cross multiply
    25,563.74x = 38,349.48 × 8,031.92
  4. Step 4: Simplify right side
    25,563.74x = 308,019,955.40
  5. Step 5: Solve for x
    x = 308,019,955.40/25,563.74
  6. Step 6: Final answer
    x = 12,049.10

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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.