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Finding the Fourth Proportional to 27,512.87, 37,967.90 and 16,182.83

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Solution

The fourth proportional to 27,512.87, 37,967.90 and 16,182.83 is: 22,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,512.87 : 37,967.90 = 16,182.83 : x
  2. Step 2: Convert to fraction form
    27,512.87/37,967.90 = 16,182.83/x
  3. Step 3: Cross multiply
    27,512.87x = 37,967.90 × 16,182.83
  4. Step 4: Simplify right side
    27,512.87x = 614,428,085.16
  5. Step 5: Solve for x
    x = 614,428,085.16/27,512.87
  6. Step 6: Final answer
    x = 22,332.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.