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Finding the Fourth Proportional to 24,508.97, 36,759.98 and 7,870.44

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Solution

The fourth proportional to 24,508.97, 36,759.98 and 7,870.44 is: 11,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.97 : 36,759.98 = 7,870.44 : x
  2. Step 2: Convert to fraction form
    24,508.97/36,759.98 = 7,870.44/x
  3. Step 3: Cross multiply
    24,508.97x = 36,759.98 × 7,870.44
  4. Step 4: Simplify right side
    24,508.97x = 289,317,236.67
  5. Step 5: Solve for x
    x = 289,317,236.67/24,508.97
  6. Step 6: Final answer
    x = 11,804.55

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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.