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Finding the Fourth Proportional to 23,556.81, 32,508.40 and 12,947.13

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Solution

The fourth proportional to 23,556.81, 32,508.40 and 12,947.13 is: 17,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,556.81 : 32,508.40 = 12,947.13 : x
  2. Step 2: Convert to fraction form
    23,556.81/32,508.40 = 12,947.13/x
  3. Step 3: Cross multiply
    23,556.81x = 32,508.40 × 12,947.13
  4. Step 4: Simplify right side
    23,556.81x = 420,890,480.89
  5. Step 5: Solve for x
    x = 420,890,480.89/23,556.81
  6. Step 6: Final answer
    x = 17,867.04

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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.