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Finding the Fourth Proportional to 25,057.20, 34,563.20 and 16,116.32

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Solution

The fourth proportional to 25,057.20, 34,563.20 and 16,116.32 is: 22,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,057.20 : 34,563.20 = 16,116.32 : x
  2. Step 2: Convert to fraction form
    25,057.20/34,563.20 = 16,116.32/x
  3. Step 3: Cross multiply
    25,057.20x = 34,563.20 × 16,116.32
  4. Step 4: Simplify right side
    25,057.20x = 557,031,591.42
  5. Step 5: Solve for x
    x = 557,031,591.42/25,057.20
  6. Step 6: Final answer
    x = 22,230.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.