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Finding the Fourth Proportional to 28,049.12, 38,702.40 and 16,871.84

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Solution

The fourth proportional to 28,049.12, 38,702.40 and 16,871.84 is: 23,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,049.12 : 38,702.40 = 16,871.84 : x
  2. Step 2: Convert to fraction form
    28,049.12/38,702.40 = 16,871.84/x
  3. Step 3: Cross multiply
    28,049.12x = 38,702.40 × 16,871.84
  4. Step 4: Simplify right side
    28,049.12x = 652,980,700.42
  5. Step 5: Solve for x
    x = 652,980,700.42/28,049.12
  6. Step 6: Final answer
    x = 23,279.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.