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Finding the Fourth Proportional to 28,850.28, 39,814.59 and 16,275

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Solution

The fourth proportional to 28,850.28, 39,814.59 and 16,275 is: 22,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,850.28 : 39,814.59 = 16,275 : x
  2. Step 2: Convert to fraction form
    28,850.28/39,814.59 = 16,275/x
  3. Step 3: Cross multiply
    28,850.28x = 39,814.59 × 16,275
  4. Step 4: Simplify right side
    28,850.28x = 647,982,452.25
  5. Step 5: Solve for x
    x = 647,982,452.25/28,850.28
  6. Step 6: Final answer
    x = 22,460.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.