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Finding the Fourth Proportional to 17,842.65, 26,767.02 and 6,153.15

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Solution

The fourth proportional to 17,842.65, 26,767.02 and 6,153.15 is: 9,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.65 : 26,767.02 = 6,153.15 : x
  2. Step 2: Convert to fraction form
    17,842.65/26,767.02 = 6,153.15/x
  3. Step 3: Cross multiply
    17,842.65x = 26,767.02 × 6,153.15
  4. Step 4: Simplify right side
    17,842.65x = 164,701,489.11
  5. Step 5: Solve for x
    x = 164,701,489.11/17,842.65
  6. Step 6: Final answer
    x = 9,230.78

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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.