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Finding the Fourth Proportional to 23,103.74, 31,883.05 and 12,493.35

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Solution

The fourth proportional to 23,103.74, 31,883.05 and 12,493.35 is: 17,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.74 : 31,883.05 = 12,493.35 : x
  2. Step 2: Convert to fraction form
    23,103.74/31,883.05 = 12,493.35/x
  3. Step 3: Cross multiply
    23,103.74x = 31,883.05 × 12,493.35
  4. Step 4: Simplify right side
    23,103.74x = 398,326,118.33
  5. Step 5: Solve for x
    x = 398,326,118.33/23,103.74
  6. Step 6: Final answer
    x = 17,240.76

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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.