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Finding the Fourth Proportional to 22,851.70, 34,265.40 and 9,689.20

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Solution

The fourth proportional to 22,851.70, 34,265.40 and 9,689.20 is: 14,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,851.70 : 34,265.40 = 9,689.20 : x
  2. Step 2: Convert to fraction form
    22,851.70/34,265.40 = 9,689.20/x
  3. Step 3: Cross multiply
    22,851.70x = 34,265.40 × 9,689.20
  4. Step 4: Simplify right side
    22,851.70x = 332,004,313.68
  5. Step 5: Solve for x
    x = 332,004,313.68/22,851.70
  6. Step 6: Final answer
    x = 14,528.65

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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.