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Finding the Fourth Proportional to 17,842.68, 26,730 and 12,299.04

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Solution

The fourth proportional to 17,842.68, 26,730 and 12,299.04 is: 18,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.68 : 26,730 = 12,299.04 : x
  2. Step 2: Convert to fraction form
    17,842.68/26,730 = 12,299.04/x
  3. Step 3: Cross multiply
    17,842.68x = 26,730 × 12,299.04
  4. Step 4: Simplify right side
    17,842.68x = 328,753,339.20
  5. Step 5: Solve for x
    x = 328,753,339.20/17,842.68
  6. Step 6: Final answer
    x = 18,425.11

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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.