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Finding the Fourth Proportional to 24,841.50, 34,282.76 and 14,086.80

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Solution

The fourth proportional to 24,841.50, 34,282.76 and 14,086.80 is: 19,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,841.50 : 34,282.76 = 14,086.80 : x
  2. Step 2: Convert to fraction form
    24,841.50/34,282.76 = 14,086.80/x
  3. Step 3: Cross multiply
    24,841.50x = 34,282.76 × 14,086.80
  4. Step 4: Simplify right side
    24,841.50x = 482,934,313.13
  5. Step 5: Solve for x
    x = 482,934,313.13/24,841.50
  6. Step 6: Final answer
    x = 19,440.63

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