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Finding the Fourth Proportional to 24,866.24, 37,298.88 and 6,398.24

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Solution

The fourth proportional to 24,866.24, 37,298.88 and 6,398.24 is: 9,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866.24 : 37,298.88 = 6,398.24 : x
  2. Step 2: Convert to fraction form
    24,866.24/37,298.88 = 6,398.24/x
  3. Step 3: Cross multiply
    24,866.24x = 37,298.88 × 6,398.24
  4. Step 4: Simplify right side
    24,866.24x = 238,647,185.97
  5. Step 5: Solve for x
    x = 238,647,185.97/24,866.24
  6. Step 6: Final answer
    x = 9,597.24

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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.