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Finding the Fourth Proportional to 20,248.12, 30,373.62 and 6,397

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Solution

The fourth proportional to 20,248.12, 30,373.62 and 6,397 is: 9,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,248.12 : 30,373.62 = 6,397 : x
  2. Step 2: Convert to fraction form
    20,248.12/30,373.62 = 6,397/x
  3. Step 3: Cross multiply
    20,248.12x = 30,373.62 × 6,397
  4. Step 4: Simplify right side
    20,248.12x = 194,300,047.14
  5. Step 5: Solve for x
    x = 194,300,047.14/20,248.12
  6. Step 6: Final answer
    x = 9,595.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.