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Finding the Fourth Proportional to 27,182.80, 37,512.12 and 15,083.16

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Solution

The fourth proportional to 27,182.80, 37,512.12 and 15,083.16 is: 20,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.80 : 37,512.12 = 15,083.16 : x
  2. Step 2: Convert to fraction form
    27,182.80/37,512.12 = 15,083.16/x
  3. Step 3: Cross multiply
    27,182.80x = 37,512.12 × 15,083.16
  4. Step 4: Simplify right side
    27,182.80x = 565,801,307.90
  5. Step 5: Solve for x
    x = 565,801,307.90/27,182.80
  6. Step 6: Final answer
    x = 20,814.68

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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.