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Finding the Fourth Proportional to 12,332.82, 18,496.65 and 3,565.69

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Solution

The fourth proportional to 12,332.82, 18,496.65 and 3,565.69 is: 5,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.82 : 18,496.65 = 3,565.69 : x
  2. Step 2: Convert to fraction form
    12,332.82/18,496.65 = 3,565.69/x
  3. Step 3: Cross multiply
    12,332.82x = 18,496.65 × 3,565.69
  4. Step 4: Simplify right side
    12,332.82x = 65,953,287.07
  5. Step 5: Solve for x
    x = 65,953,287.07/12,332.82
  6. Step 6: Final answer
    x = 5,347.78

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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.