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Finding the Fourth Proportional to 24,892, 34,350.96 and 14,281.18

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Solution

The fourth proportional to 24,892, 34,350.96 and 14,281.18 is: 19,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892 : 34,350.96 = 14,281.18 : x
  2. Step 2: Convert to fraction form
    24,892/34,350.96 = 14,281.18/x
  3. Step 3: Cross multiply
    24,892x = 34,350.96 × 14,281.18
  4. Step 4: Simplify right side
    24,892x = 490,572,242.93
  5. Step 5: Solve for x
    x = 490,572,242.93/24,892
  6. Step 6: Final answer
    x = 19,708.03

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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.