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Finding the Fourth Proportional to 24,846, 34,287.48 and 14,910

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Solution

The fourth proportional to 24,846, 34,287.48 and 14,910 is: 20,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846 : 34,287.48 = 14,910 : x
  2. Step 2: Convert to fraction form
    24,846/34,287.48 = 14,910/x
  3. Step 3: Cross multiply
    24,846x = 34,287.48 × 14,910
  4. Step 4: Simplify right side
    24,846x = 511,226,326.80
  5. Step 5: Solve for x
    x = 511,226,326.80/24,846
  6. Step 6: Final answer
    x = 20,575.80

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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.