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Finding the Fourth Proportional to 17,843.85, 24,624.14 and 10,290.15

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Solution

The fourth proportional to 17,843.85, 24,624.14 and 10,290.15 is: 14,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.85 : 24,624.14 = 10,290.15 : x
  2. Step 2: Convert to fraction form
    17,843.85/24,624.14 = 10,290.15/x
  3. Step 3: Cross multiply
    17,843.85x = 24,624.14 × 10,290.15
  4. Step 4: Simplify right side
    17,843.85x = 253,386,042.77
  5. Step 5: Solve for x
    x = 253,386,042.77/17,843.85
  6. Step 6: Final answer
    x = 14,200.19

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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.