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Finding the Fourth Proportional to 24,938, 34,418.89 and 14,867.10

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Solution

The fourth proportional to 24,938, 34,418.89 and 14,867.10 is: 20,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,938 : 34,418.89 = 14,867.10 : x
  2. Step 2: Convert to fraction form
    24,938/34,418.89 = 14,867.10/x
  3. Step 3: Cross multiply
    24,938x = 34,418.89 × 14,867.10
  4. Step 4: Simplify right side
    24,938x = 511,709,079.52
  5. Step 5: Solve for x
    x = 511,709,079.52/24,938
  6. Step 6: Final answer
    x = 20,519.25

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Why These Related Problems?

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