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Finding the Fourth Proportional to 24,775, 34,189.50 and 14,839

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Solution

The fourth proportional to 24,775, 34,189.50 and 14,839 is: 20,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775 : 34,189.50 = 14,839 : x
  2. Step 2: Convert to fraction form
    24,775/34,189.50 = 14,839/x
  3. Step 3: Cross multiply
    24,775x = 34,189.50 × 14,839
  4. Step 4: Simplify right side
    24,775x = 507,337,990.50
  5. Step 5: Solve for x
    x = 507,337,990.50/24,775
  6. Step 6: Final answer
    x = 20,477.82

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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.