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Finding the Fourth Proportional to 21,057.59, 31,584.56 and 8,578.93

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Solution

The fourth proportional to 21,057.59, 31,584.56 and 8,578.93 is: 12,867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.59 : 31,584.56 = 8,578.93 : x
  2. Step 2: Convert to fraction form
    21,057.59/31,584.56 = 8,578.93/x
  3. Step 3: Cross multiply
    21,057.59x = 31,584.56 × 8,578.93
  4. Step 4: Simplify right side
    21,057.59x = 270,961,707.87
  5. Step 5: Solve for x
    x = 270,961,707.87/21,057.59
  6. Step 6: Final answer
    x = 12,867.65

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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.