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Finding the Fourth Proportional to 17,776.80, 24,531.84 and 9,819.54

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Solution

The fourth proportional to 17,776.80, 24,531.84 and 9,819.54 is: 13,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.80 : 24,531.84 = 9,819.54 : x
  2. Step 2: Convert to fraction form
    17,776.80/24,531.84 = 9,819.54/x
  3. Step 3: Cross multiply
    17,776.80x = 24,531.84 × 9,819.54
  4. Step 4: Simplify right side
    17,776.80x = 240,891,384.15
  5. Step 5: Solve for x
    x = 240,891,384.15/17,776.80
  6. Step 6: Final answer
    x = 13,550.89

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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.