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Finding the Fourth Proportional to 15,649.92, 23,471.28 and 4,554

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Solution

The fourth proportional to 15,649.92, 23,471.28 and 4,554 is: 6,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.92 : 23,471.28 = 4,554 : x
  2. Step 2: Convert to fraction form
    15,649.92/23,471.28 = 4,554/x
  3. Step 3: Cross multiply
    15,649.92x = 23,471.28 × 4,554
  4. Step 4: Simplify right side
    15,649.92x = 106,888,209.12
  5. Step 5: Solve for x
    x = 106,888,209.12/15,649.92
  6. Step 6: Final answer
    x = 6,829.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.