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Finding the Fourth Proportional to 24,498.14, 36,752.70 and 7,859.66

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Solution

The fourth proportional to 24,498.14, 36,752.70 and 7,859.66 is: 11,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.14 : 36,752.70 = 7,859.66 : x
  2. Step 2: Convert to fraction form
    24,498.14/36,752.70 = 7,859.66/x
  3. Step 3: Cross multiply
    24,498.14x = 36,752.70 × 7,859.66
  4. Step 4: Simplify right side
    24,498.14x = 288,863,726.08
  5. Step 5: Solve for x
    x = 288,863,726.08/24,498.14
  6. Step 6: Final answer
    x = 11,791.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.