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Finding the Fourth Proportional to 17,740.40, 26,616.69 and 7,886.57

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Solution

The fourth proportional to 17,740.40, 26,616.69 and 7,886.57 is: 11,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.40 : 26,616.69 = 7,886.57 : x
  2. Step 2: Convert to fraction form
    17,740.40/26,616.69 = 7,886.57/x
  3. Step 3: Cross multiply
    17,740.40x = 26,616.69 × 7,886.57
  4. Step 4: Simplify right side
    17,740.40x = 209,914,255.77
  5. Step 5: Solve for x
    x = 209,914,255.77/17,740.40
  6. Step 6: Final answer
    x = 11,832.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.