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Finding the Fourth Proportional to 23,105.24, 31,885.24 and 12,494.88

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Solution

The fourth proportional to 23,105.24, 31,885.24 and 12,494.88 is: 17,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.24 : 31,885.24 = 12,494.88 : x
  2. Step 2: Convert to fraction form
    23,105.24/31,885.24 = 12,494.88/x
  3. Step 3: Cross multiply
    23,105.24x = 31,885.24 × 12,494.88
  4. Step 4: Simplify right side
    23,105.24x = 398,402,247.57
  5. Step 5: Solve for x
    x = 398,402,247.57/23,105.24
  6. Step 6: Final answer
    x = 17,242.94

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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.