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Finding the Fourth Proportional to 23,332.80, 32,198.31 and 12,722.19

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Solution

The fourth proportional to 23,332.80, 32,198.31 and 12,722.19 is: 17,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,332.80 : 32,198.31 = 12,722.19 : x
  2. Step 2: Convert to fraction form
    23,332.80/32,198.31 = 12,722.19/x
  3. Step 3: Cross multiply
    23,332.80x = 32,198.31 × 12,722.19
  4. Step 4: Simplify right side
    23,332.80x = 409,633,017.50
  5. Step 5: Solve for x
    x = 409,633,017.50/23,332.80
  6. Step 6: Final answer
    x = 17,556.10

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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.