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Finding the Fourth Proportional to 23,338.97, 32,207.79 and 12,728.68

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Solution

The fourth proportional to 23,338.97, 32,207.79 and 12,728.68 is: 17,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.97 : 32,207.79 = 12,728.68 : x
  2. Step 2: Convert to fraction form
    23,338.97/32,207.79 = 12,728.68/x
  3. Step 3: Cross multiply
    23,338.97x = 32,207.79 × 12,728.68
  4. Step 4: Simplify right side
    23,338.97x = 409,962,619.63
  5. Step 5: Solve for x
    x = 409,962,619.63/23,338.97
  6. Step 6: Final answer
    x = 17,565.58

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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.