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Finding the Fourth Proportional to 25,952.80, 38,914.80 and 11,159.20

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Solution

The fourth proportional to 25,952.80, 38,914.80 and 11,159.20 is: 16,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952.80 : 38,914.80 = 11,159.20 : x
  2. Step 2: Convert to fraction form
    25,952.80/38,914.80 = 11,159.20/x
  3. Step 3: Cross multiply
    25,952.80x = 38,914.80 × 11,159.20
  4. Step 4: Simplify right side
    25,952.80x = 434,258,036.16
  5. Step 5: Solve for x
    x = 434,258,036.16/25,952.80
  6. Step 6: Final answer
    x = 16,732.61

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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.