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Finding the Fourth Proportional to 27,422.76, 37,844.10 and 16,818.24

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Solution

The fourth proportional to 27,422.76, 37,844.10 and 16,818.24 is: 23,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.76 : 37,844.10 = 16,818.24 : x
  2. Step 2: Convert to fraction form
    27,422.76/37,844.10 = 16,818.24/x
  3. Step 3: Cross multiply
    27,422.76x = 37,844.10 × 16,818.24
  4. Step 4: Simplify right side
    27,422.76x = 636,471,156.38
  5. Step 5: Solve for x
    x = 636,471,156.38/27,422.76
  6. Step 6: Final answer
    x = 23,209.60

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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.