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Finding the Fourth Proportional to 17,842.52, 26,780.38 and 9,084

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Solution

The fourth proportional to 17,842.52, 26,780.38 and 9,084 is: 13,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.52 : 26,780.38 = 9,084 : x
  2. Step 2: Convert to fraction form
    17,842.52/26,780.38 = 9,084/x
  3. Step 3: Cross multiply
    17,842.52x = 26,780.38 × 9,084
  4. Step 4: Simplify right side
    17,842.52x = 243,272,971.92
  5. Step 5: Solve for x
    x = 243,272,971.92/17,842.52
  6. Step 6: Final answer
    x = 13,634.45

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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.