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Finding the Fourth Proportional to 15,406.76, 23,102.82 and 8,003.80

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Solution

The fourth proportional to 15,406.76, 23,102.82 and 8,003.80 is: 12,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.76 : 23,102.82 = 8,003.80 : x
  2. Step 2: Convert to fraction form
    15,406.76/23,102.82 = 8,003.80/x
  3. Step 3: Cross multiply
    15,406.76x = 23,102.82 × 8,003.80
  4. Step 4: Simplify right side
    15,406.76x = 184,910,350.72
  5. Step 5: Solve for x
    x = 184,910,350.72/15,406.76
  6. Step 6: Final answer
    x = 12,001.90

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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.