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Finding the Fourth Proportional to 22,511.20, 33,746.16 and 8,649.76

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Solution

The fourth proportional to 22,511.20, 33,746.16 and 8,649.76 is: 12,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.20 : 33,746.16 = 8,649.76 : x
  2. Step 2: Convert to fraction form
    22,511.20/33,746.16 = 8,649.76/x
  3. Step 3: Cross multiply
    22,511.20x = 33,746.16 × 8,649.76
  4. Step 4: Simplify right side
    22,511.20x = 291,896,184.92
  5. Step 5: Solve for x
    x = 291,896,184.92/22,511.20
  6. Step 6: Final answer
    x = 12,966.71

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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.