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Finding the Fourth Proportional to 24,374.98, 36,562.32 and 6,844.82

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Solution

The fourth proportional to 24,374.98, 36,562.32 and 6,844.82 is: 10,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374.98 : 36,562.32 = 6,844.82 : x
  2. Step 2: Convert to fraction form
    24,374.98/36,562.32 = 6,844.82/x
  3. Step 3: Cross multiply
    24,374.98x = 36,562.32 × 6,844.82
  4. Step 4: Simplify right side
    24,374.98x = 250,262,499.18
  5. Step 5: Solve for x
    x = 250,262,499.18/24,374.98
  6. Step 6: Final answer
    x = 10,267.19

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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.