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Finding the Fourth Proportional to 17,751.83, 26,624.10 and 8,387.87

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Solution

The fourth proportional to 17,751.83, 26,624.10 and 8,387.87 is: 12,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.83 : 26,624.10 = 8,387.87 : x
  2. Step 2: Convert to fraction form
    17,751.83/26,624.10 = 8,387.87/x
  3. Step 3: Cross multiply
    17,751.83x = 26,624.10 × 8,387.87
  4. Step 4: Simplify right side
    17,751.83x = 223,319,489.67
  5. Step 5: Solve for x
    x = 223,319,489.67/17,751.83
  6. Step 6: Final answer
    x = 12,580.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.