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Finding the Fourth Proportional to 20,454.96, 30,682.71 and 7,308.12

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Solution

The fourth proportional to 20,454.96, 30,682.71 and 7,308.12 is: 10,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.96 : 30,682.71 = 7,308.12 : x
  2. Step 2: Convert to fraction form
    20,454.96/30,682.71 = 7,308.12/x
  3. Step 3: Cross multiply
    20,454.96x = 30,682.71 × 7,308.12
  4. Step 4: Simplify right side
    20,454.96x = 224,232,926.61
  5. Step 5: Solve for x
    x = 224,232,926.61/20,454.96
  6. Step 6: Final answer
    x = 10,962.28

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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.