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Finding the Fourth Proportional to 15,415.83, 23,138.19 and 8,025.66

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Solution

The fourth proportional to 15,415.83, 23,138.19 and 8,025.66 is: 12,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.83 : 23,138.19 = 8,025.66 : x
  2. Step 2: Convert to fraction form
    15,415.83/23,138.19 = 8,025.66/x
  3. Step 3: Cross multiply
    15,415.83x = 23,138.19 × 8,025.66
  4. Step 4: Simplify right side
    15,415.83x = 185,699,245.96
  5. Step 5: Solve for x
    x = 185,699,245.96/15,415.83
  6. Step 6: Final answer
    x = 12,046.01

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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.