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Finding the Fourth Proportional to 23,332.47, 32,198.95 and 12,722.28

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Solution

The fourth proportional to 23,332.47, 32,198.95 and 12,722.28 is: 17,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,332.47 : 32,198.95 = 12,722.28 : x
  2. Step 2: Convert to fraction form
    23,332.47/32,198.95 = 12,722.28/x
  3. Step 3: Cross multiply
    23,332.47x = 32,198.95 × 12,722.28
  4. Step 4: Simplify right side
    23,332.47x = 409,644,057.61
  5. Step 5: Solve for x
    x = 409,644,057.61/23,332.47
  6. Step 6: Final answer
    x = 17,556.82

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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.