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Finding the Fourth Proportional to 27,097.64, 40,650.67 and 16,012.31

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Solution

The fourth proportional to 27,097.64, 40,650.67 and 16,012.31 is: 24,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.64 : 40,650.67 = 16,012.31 : x
  2. Step 2: Convert to fraction form
    27,097.64/40,650.67 = 16,012.31/x
  3. Step 3: Cross multiply
    27,097.64x = 40,650.67 × 16,012.31
  4. Step 4: Simplify right side
    27,097.64x = 650,911,129.75
  5. Step 5: Solve for x
    x = 650,911,129.75/27,097.64
  6. Step 6: Final answer
    x = 24,020.96

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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.