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Finding the Fourth Proportional to 25,650.40, 38,471.76 and 8,117.98

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Solution

The fourth proportional to 25,650.40, 38,471.76 and 8,117.98 is: 12,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,650.40 : 38,471.76 = 8,117.98 : x
  2. Step 2: Convert to fraction form
    25,650.40/38,471.76 = 8,117.98/x
  3. Step 3: Cross multiply
    25,650.40x = 38,471.76 × 8,117.98
  4. Step 4: Simplify right side
    25,650.40x = 312,312,978.24
  5. Step 5: Solve for x
    x = 312,312,978.24/25,650.40
  6. Step 6: Final answer
    x = 12,175.75

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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.