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Finding the Fourth Proportional to 12,446.52, 17,166.06 and 9,305.40

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Solution

The fourth proportional to 12,446.52, 17,166.06 and 9,305.40 is: 12,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.52 : 17,166.06 = 9,305.40 : x
  2. Step 2: Convert to fraction form
    12,446.52/17,166.06 = 9,305.40/x
  3. Step 3: Cross multiply
    12,446.52x = 17,166.06 × 9,305.40
  4. Step 4: Simplify right side
    12,446.52x = 159,737,054.72
  5. Step 5: Solve for x
    x = 159,737,054.72/12,446.52
  6. Step 6: Final answer
    x = 12,833.87

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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.