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Finding the Fourth Proportional to 23,332.96, 32,199.41 and 12,722.57

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Solution

The fourth proportional to 23,332.96, 32,199.41 and 12,722.57 is: 17,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,332.96 : 32,199.41 = 12,722.57 : x
  2. Step 2: Convert to fraction form
    23,332.96/32,199.41 = 12,722.57/x
  3. Step 3: Cross multiply
    23,332.96x = 32,199.41 × 12,722.57
  4. Step 4: Simplify right side
    23,332.96x = 409,659,023.07
  5. Step 5: Solve for x
    x = 409,659,023.07/23,332.96
  6. Step 6: Final answer
    x = 17,557.10

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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.