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Finding the Fourth Proportional to 27,710.70, 38,227.06 and 16,374.71

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Solution

The fourth proportional to 27,710.70, 38,227.06 and 16,374.71 is: 22,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.70 : 38,227.06 = 16,374.71 : x
  2. Step 2: Convert to fraction form
    27,710.70/38,227.06 = 16,374.71/x
  3. Step 3: Cross multiply
    27,710.70x = 38,227.06 × 16,374.71
  4. Step 4: Simplify right side
    27,710.70x = 625,957,096.72
  5. Step 5: Solve for x
    x = 625,957,096.72/27,710.70
  6. Step 6: Final answer
    x = 22,589.00

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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.