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Finding the Fourth Proportional to 23,689.38, 35,535.78 and 6,821.70

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Solution

The fourth proportional to 23,689.38, 35,535.78 and 6,821.70 is: 10,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.38 : 35,535.78 = 6,821.70 : x
  2. Step 2: Convert to fraction form
    23,689.38/35,535.78 = 6,821.70/x
  3. Step 3: Cross multiply
    23,689.38x = 35,535.78 × 6,821.70
  4. Step 4: Simplify right side
    23,689.38x = 242,414,430.43
  5. Step 5: Solve for x
    x = 242,414,430.43/23,689.38
  6. Step 6: Final answer
    x = 10,233.04

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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.