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Finding the Fourth Proportional to 27,658.76, 38,169.24 and 15,083.24

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Solution

The fourth proportional to 27,658.76, 38,169.24 and 15,083.24 is: 20,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.76 : 38,169.24 = 15,083.24 : x
  2. Step 2: Convert to fraction form
    27,658.76/38,169.24 = 15,083.24/x
  3. Step 3: Cross multiply
    27,658.76x = 38,169.24 × 15,083.24
  4. Step 4: Simplify right side
    27,658.76x = 575,715,807.54
  5. Step 5: Solve for x
    x = 575,715,807.54/27,658.76
  6. Step 6: Final answer
    x = 20,814.95

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1.5x scale

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.