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Finding the Fourth Proportional to 23,612.16, 35,419.08 and 8,027.76

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Solution

The fourth proportional to 23,612.16, 35,419.08 and 8,027.76 is: 12,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612.16 : 35,419.08 = 8,027.76 : x
  2. Step 2: Convert to fraction form
    23,612.16/35,419.08 = 8,027.76/x
  3. Step 3: Cross multiply
    23,612.16x = 35,419.08 × 8,027.76
  4. Step 4: Simplify right side
    23,612.16x = 284,335,873.66
  5. Step 5: Solve for x
    x = 284,335,873.66/23,612.16
  6. Step 6: Final answer
    x = 12,041.93

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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.