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Finding the Fourth Proportional to 25,867.80, 38,805.30 and 10,281.80

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Solution

The fourth proportional to 25,867.80, 38,805.30 and 10,281.80 is: 15,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,867.80 : 38,805.30 = 10,281.80 : x
  2. Step 2: Convert to fraction form
    25,867.80/38,805.30 = 10,281.80/x
  3. Step 3: Cross multiply
    25,867.80x = 38,805.30 × 10,281.80
  4. Step 4: Simplify right side
    25,867.80x = 398,988,333.54
  5. Step 5: Solve for x
    x = 398,988,333.54/25,867.80
  6. Step 6: Final answer
    x = 15,424.13

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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.