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Finding the Fourth Proportional to 24,882, 34,337.40 and 13,704.24

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Solution

The fourth proportional to 24,882, 34,337.40 and 13,704.24 is: 18,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882 : 34,337.40 = 13,704.24 : x
  2. Step 2: Convert to fraction form
    24,882/34,337.40 = 13,704.24/x
  3. Step 3: Cross multiply
    24,882x = 34,337.40 × 13,704.24
  4. Step 4: Simplify right side
    24,882x = 470,567,970.58
  5. Step 5: Solve for x
    x = 470,567,970.58/24,882
  6. Step 6: Final answer
    x = 18,911.98

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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.