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Finding the Fourth Proportional to 28,284.41, 42,428.75 and 8,564.56

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Solution

The fourth proportional to 28,284.41, 42,428.75 and 8,564.56 is: 12,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.41 : 42,428.75 = 8,564.56 : x
  2. Step 2: Convert to fraction form
    28,284.41/42,428.75 = 8,564.56/x
  3. Step 3: Cross multiply
    28,284.41x = 42,428.75 × 8,564.56
  4. Step 4: Simplify right side
    28,284.41x = 363,383,426.21
  5. Step 5: Solve for x
    x = 363,383,426.21/28,284.41
  6. Step 6: Final answer
    x = 12,847.48

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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.