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Finding the Fourth Proportional to 21,059.41, 31,561.72 and 8,564.87

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Solution

The fourth proportional to 21,059.41, 31,561.72 and 8,564.87 is: 12,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,059.41 : 31,561.72 = 8,564.87 : x
  2. Step 2: Convert to fraction form
    21,059.41/31,561.72 = 8,564.87/x
  3. Step 3: Cross multiply
    21,059.41x = 31,561.72 × 8,564.87
  4. Step 4: Simplify right side
    21,059.41x = 270,322,028.78
  5. Step 5: Solve for x
    x = 270,322,028.78/21,059.41
  6. Step 6: Final answer
    x = 12,836.16

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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.