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Finding the Fourth Proportional to 25,105.86, 37,649.16 and 8,461.40

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Solution

The fourth proportional to 25,105.86, 37,649.16 and 8,461.40 is: 12,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.86 : 37,649.16 = 8,461.40 : x
  2. Step 2: Convert to fraction form
    25,105.86/37,649.16 = 8,461.40/x
  3. Step 3: Cross multiply
    25,105.86x = 37,649.16 × 8,461.40
  4. Step 4: Simplify right side
    25,105.86x = 318,564,414.18
  5. Step 5: Solve for x
    x = 318,564,414.18/25,105.86
  6. Step 6: Final answer
    x = 12,688.85

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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.