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Finding the Fourth Proportional to 23,454.64, 32,367.49 and 12,844.18

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Solution

The fourth proportional to 23,454.64, 32,367.49 and 12,844.18 is: 17,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.64 : 32,367.49 = 12,844.18 : x
  2. Step 2: Convert to fraction form
    23,454.64/32,367.49 = 12,844.18/x
  3. Step 3: Cross multiply
    23,454.64x = 32,367.49 × 12,844.18
  4. Step 4: Simplify right side
    23,454.64x = 415,733,867.71
  5. Step 5: Solve for x
    x = 415,733,867.71/23,454.64
  6. Step 6: Final answer
    x = 17,725.02

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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.