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Finding the Fourth Proportional to 23,405.28, 32,298.84 and 12,794.88

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Solution

The fourth proportional to 23,405.28, 32,298.84 and 12,794.88 is: 17,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.28 : 32,298.84 = 12,794.88 : x
  2. Step 2: Convert to fraction form
    23,405.28/32,298.84 = 12,794.88/x
  3. Step 3: Cross multiply
    23,405.28x = 32,298.84 × 12,794.88
  4. Step 4: Simplify right side
    23,405.28x = 413,259,781.94
  5. Step 5: Solve for x
    x = 413,259,781.94/23,405.28
  6. Step 6: Final answer
    x = 17,656.69

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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.