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Finding the Fourth Proportional to 27,871.42, 38,460.02 and 16,538.96

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Solution

The fourth proportional to 27,871.42, 38,460.02 and 16,538.96 is: 22,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.42 : 38,460.02 = 16,538.96 : x
  2. Step 2: Convert to fraction form
    27,871.42/38,460.02 = 16,538.96/x
  3. Step 3: Cross multiply
    27,871.42x = 38,460.02 × 16,538.96
  4. Step 4: Simplify right side
    27,871.42x = 636,088,732.38
  5. Step 5: Solve for x
    x = 636,088,732.38/27,871.42
  6. Step 6: Final answer
    x = 22,822.26

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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.