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Finding the Fourth Proportional to 27,871.31, 38,459.84 and 16,538.84

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Solution

The fourth proportional to 27,871.31, 38,459.84 and 16,538.84 is: 22,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.31 : 38,459.84 = 16,538.84 : x
  2. Step 2: Convert to fraction form
    27,871.31/38,459.84 = 16,538.84/x
  3. Step 3: Cross multiply
    27,871.31x = 38,459.84 × 16,538.84
  4. Step 4: Simplify right side
    27,871.31x = 636,080,865.19
  5. Step 5: Solve for x
    x = 636,080,865.19/27,871.31
  6. Step 6: Final answer
    x = 22,822.07

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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.