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Finding the Fourth Proportional to 23,123.50, 31,910.19 and 12,512.89

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Solution

The fourth proportional to 23,123.50, 31,910.19 and 12,512.89 is: 17,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123.50 : 31,910.19 = 12,512.89 : x
  2. Step 2: Convert to fraction form
    23,123.50/31,910.19 = 12,512.89/x
  3. Step 3: Cross multiply
    23,123.50x = 31,910.19 × 12,512.89
  4. Step 4: Simplify right side
    23,123.50x = 399,288,697.35
  5. Step 5: Solve for x
    x = 399,288,697.35/23,123.50
  6. Step 6: Final answer
    x = 17,267.66

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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.