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Finding the Fourth Proportional to 27,158.64, 40,712.46 and 14,007.48

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Solution

The fourth proportional to 27,158.64, 40,712.46 and 14,007.48 is: 20,998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,158.64 : 40,712.46 = 14,007.48 : x
  2. Step 2: Convert to fraction form
    27,158.64/40,712.46 = 14,007.48/x
  3. Step 3: Cross multiply
    27,158.64x = 40,712.46 × 14,007.48
  4. Step 4: Simplify right side
    27,158.64x = 570,278,969.20
  5. Step 5: Solve for x
    x = 570,278,969.20/27,158.64
  6. Step 6: Final answer
    x = 20,998.07

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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.