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Finding the Fourth Proportional to 14,610.74, 20,164.32 and 8,949.24

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Solution

The fourth proportional to 14,610.74, 20,164.32 and 8,949.24 is: 12,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.74 : 20,164.32 = 8,949.24 : x
  2. Step 2: Convert to fraction form
    14,610.74/20,164.32 = 8,949.24/x
  3. Step 3: Cross multiply
    14,610.74x = 20,164.32 × 8,949.24
  4. Step 4: Simplify right side
    14,610.74x = 180,455,339.12
  5. Step 5: Solve for x
    x = 180,455,339.12/14,610.74
  6. Step 6: Final answer
    x = 12,350.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.