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Finding the Fourth Proportional to 23,332.97, 32,199.65 and 12,722.78

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Solution

The fourth proportional to 23,332.97, 32,199.65 and 12,722.78 is: 17,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,332.97 : 32,199.65 = 12,722.78 : x
  2. Step 2: Convert to fraction form
    23,332.97/32,199.65 = 12,722.78/x
  3. Step 3: Cross multiply
    23,332.97x = 32,199.65 × 12,722.78
  4. Step 4: Simplify right side
    23,332.97x = 409,668,838.41
  5. Step 5: Solve for x
    x = 409,668,838.41/23,332.97
  6. Step 6: Final answer
    x = 17,557.51

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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.