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Finding the Fourth Proportional to 12,348.34, 17,036.12 and 8,101.77

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Solution

The fourth proportional to 12,348.34, 17,036.12 and 8,101.77 is: 11,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.34 : 17,036.12 = 8,101.77 : x
  2. Step 2: Convert to fraction form
    12,348.34/17,036.12 = 8,101.77/x
  3. Step 3: Cross multiply
    12,348.34x = 17,036.12 × 8,101.77
  4. Step 4: Simplify right side
    12,348.34x = 138,022,725.93
  5. Step 5: Solve for x
    x = 138,022,725.93/12,348.34
  6. Step 6: Final answer
    x = 11,177.43

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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.