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Finding the Fourth Proportional to 15,202.76, 20,984.82 and 8,915

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Solution

The fourth proportional to 15,202.76, 20,984.82 and 8,915 is: 12,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.76 : 20,984.82 = 8,915 : x
  2. Step 2: Convert to fraction form
    15,202.76/20,984.82 = 8,915/x
  3. Step 3: Cross multiply
    15,202.76x = 20,984.82 × 8,915
  4. Step 4: Simplify right side
    15,202.76x = 187,079,670.30
  5. Step 5: Solve for x
    x = 187,079,670.30/15,202.76
  6. Step 6: Final answer
    x = 12,305.64

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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.