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Finding the Fourth Proportional to 11,826.20, 17,670.66 and 8,957.59

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Solution

The fourth proportional to 11,826.20, 17,670.66 and 8,957.59 is: 13,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826.20 : 17,670.66 = 8,957.59 : x
  2. Step 2: Convert to fraction form
    11,826.20/17,670.66 = 8,957.59/x
  3. Step 3: Cross multiply
    11,826.20x = 17,670.66 × 8,957.59
  4. Step 4: Simplify right side
    11,826.20x = 158,286,449.54
  5. Step 5: Solve for x
    x = 158,286,449.54/11,826.20
  6. Step 6: Final answer
    x = 13,384.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.