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Finding the Fourth Proportional to 20,680, 28,538.40 and 12,294.88

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Solution

The fourth proportional to 20,680, 28,538.40 and 12,294.88 is: 16,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,680 : 28,538.40 = 12,294.88 : x
  2. Step 2: Convert to fraction form
    20,680/28,538.40 = 12,294.88/x
  3. Step 3: Cross multiply
    20,680x = 28,538.40 × 12,294.88
  4. Step 4: Simplify right side
    20,680x = 350,876,203.39
  5. Step 5: Solve for x
    x = 350,876,203.39/20,680
  6. Step 6: Final answer
    x = 16,966.93

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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.