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Finding the Fourth Proportional to 23,210.10, 34,813.41 and 7,414.49

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Solution

The fourth proportional to 23,210.10, 34,813.41 and 7,414.49 is: 11,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210.10 : 34,813.41 = 7,414.49 : x
  2. Step 2: Convert to fraction form
    23,210.10/34,813.41 = 7,414.49/x
  3. Step 3: Cross multiply
    23,210.10x = 34,813.41 × 7,414.49
  4. Step 4: Simplify right side
    23,210.10x = 258,123,506.24
  5. Step 5: Solve for x
    x = 258,123,506.24/23,210.10
  6. Step 6: Final answer
    x = 11,121.17

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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.