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Finding the Fourth Proportional to 12,443.36, 18,656.53 and 6,523.61

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Solution

The fourth proportional to 12,443.36, 18,656.53 and 6,523.61 is: 9,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.36 : 18,656.53 = 6,523.61 : x
  2. Step 2: Convert to fraction form
    12,443.36/18,656.53 = 6,523.61/x
  3. Step 3: Cross multiply
    12,443.36x = 18,656.53 × 6,523.61
  4. Step 4: Simplify right side
    12,443.36x = 121,707,816.08
  5. Step 5: Solve for x
    x = 121,707,816.08/12,443.36
  6. Step 6: Final answer
    x = 9,780.95

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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.