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Finding the Fourth Proportional to 24,923.67, 34,398.32 and 16,424.48

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Solution

The fourth proportional to 24,923.67, 34,398.32 and 16,424.48 is: 22,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923.67 : 34,398.32 = 16,424.48 : x
  2. Step 2: Convert to fraction form
    24,923.67/34,398.32 = 16,424.48/x
  3. Step 3: Cross multiply
    24,923.67x = 34,398.32 × 16,424.48
  4. Step 4: Simplify right side
    24,923.67x = 564,974,264.76
  5. Step 5: Solve for x
    x = 564,974,264.76/24,923.67
  6. Step 6: Final answer
    x = 22,668.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.