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Finding the Fourth Proportional to 24,565.26, 36,849.15 and 7,034.63

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Solution

The fourth proportional to 24,565.26, 36,849.15 and 7,034.63 is: 10,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,565.26 : 36,849.15 = 7,034.63 : x
  2. Step 2: Convert to fraction form
    24,565.26/36,849.15 = 7,034.63/x
  3. Step 3: Cross multiply
    24,565.26x = 36,849.15 × 7,034.63
  4. Step 4: Simplify right side
    24,565.26x = 259,219,951.82
  5. Step 5: Solve for x
    x = 259,219,951.82/24,565.26
  6. Step 6: Final answer
    x = 10,552.30

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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.