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Finding the Fourth Proportional to 12,961.32, 19,443.85 and 5,565.71

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Solution

The fourth proportional to 12,961.32, 19,443.85 and 5,565.71 is: 8,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.32 : 19,443.85 = 5,565.71 : x
  2. Step 2: Convert to fraction form
    12,961.32/19,443.85 = 5,565.71/x
  3. Step 3: Cross multiply
    12,961.32x = 19,443.85 × 5,565.71
  4. Step 4: Simplify right side
    12,961.32x = 108,218,865.08
  5. Step 5: Solve for x
    x = 108,218,865.08/12,961.32
  6. Step 6: Final answer
    x = 8,349.37

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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.