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Finding the Fourth Proportional to 11,601.30, 16,013.25 and 9,242.58

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Solution

The fourth proportional to 11,601.30, 16,013.25 and 9,242.58 is: 12,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.30 : 16,013.25 = 9,242.58 : x
  2. Step 2: Convert to fraction form
    11,601.30/16,013.25 = 9,242.58/x
  3. Step 3: Cross multiply
    11,601.30x = 16,013.25 × 9,242.58
  4. Step 4: Simplify right side
    11,601.30x = 148,003,744.19
  5. Step 5: Solve for x
    x = 148,003,744.19/11,601.30
  6. Step 6: Final answer
    x = 12,757.51

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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.