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Finding the Fourth Proportional to 12,309.77, 18,443.70 and 8,352.52

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Solution

The fourth proportional to 12,309.77, 18,443.70 and 8,352.52 is: 12,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.77 : 18,443.70 = 8,352.52 : x
  2. Step 2: Convert to fraction form
    12,309.77/18,443.70 = 8,352.52/x
  3. Step 3: Cross multiply
    12,309.77x = 18,443.70 × 8,352.52
  4. Step 4: Simplify right side
    12,309.77x = 154,051,327.01
  5. Step 5: Solve for x
    x = 154,051,327.01/12,309.77
  6. Step 6: Final answer
    x = 12,514.56

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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.