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Finding the Fourth Proportional to 25,842.38, 38,763.72 and 10,260

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Solution

The fourth proportional to 25,842.38, 38,763.72 and 10,260 is: 15,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.38 : 38,763.72 = 10,260 : x
  2. Step 2: Convert to fraction form
    25,842.38/38,763.72 = 10,260/x
  3. Step 3: Cross multiply
    25,842.38x = 38,763.72 × 10,260
  4. Step 4: Simplify right side
    25,842.38x = 397,715,767.20
  5. Step 5: Solve for x
    x = 397,715,767.20/25,842.38
  6. Step 6: Final answer
    x = 15,390.06

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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.