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Finding the Fourth Proportional to 13,458.40, 18,581.74 and 8,424.66

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Solution

The fourth proportional to 13,458.40, 18,581.74 and 8,424.66 is: 11,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.40 : 18,581.74 = 8,424.66 : x
  2. Step 2: Convert to fraction form
    13,458.40/18,581.74 = 8,424.66/x
  3. Step 3: Cross multiply
    13,458.40x = 18,581.74 × 8,424.66
  4. Step 4: Simplify right side
    13,458.40x = 156,544,841.71
  5. Step 5: Solve for x
    x = 156,544,841.71/13,458.40
  6. Step 6: Final answer
    x = 11,631.76

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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.