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Finding the Fourth Proportional to 23,178.22, 34,738.17 and 16,617.22

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Solution

The fourth proportional to 23,178.22, 34,738.17 and 16,617.22 is: 24,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.22 : 34,738.17 = 16,617.22 : x
  2. Step 2: Convert to fraction form
    23,178.22/34,738.17 = 16,617.22/x
  3. Step 3: Cross multiply
    23,178.22x = 34,738.17 × 16,617.22
  4. Step 4: Simplify right side
    23,178.22x = 577,251,813.29
  5. Step 5: Solve for x
    x = 577,251,813.29/23,178.22
  6. Step 6: Final answer
    x = 24,904.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.