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Finding the Fourth Proportional to 23,103.80, 31,883.36 and 12,493.40

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Solution

The fourth proportional to 23,103.80, 31,883.36 and 12,493.40 is: 17,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.80 : 31,883.36 = 12,493.40 : x
  2. Step 2: Convert to fraction form
    23,103.80/31,883.36 = 12,493.40/x
  3. Step 3: Cross multiply
    23,103.80x = 31,883.36 × 12,493.40
  4. Step 4: Simplify right side
    23,103.80x = 398,331,569.82
  5. Step 5: Solve for x
    x = 398,331,569.82/23,103.80
  6. Step 6: Final answer
    x = 17,240.95

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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.