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Finding the Fourth Proportional to 22,674.50, 34,013.71 and 6,258.50

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Solution

The fourth proportional to 22,674.50, 34,013.71 and 6,258.50 is: 9,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.50 : 34,013.71 = 6,258.50 : x
  2. Step 2: Convert to fraction form
    22,674.50/34,013.71 = 6,258.50/x
  3. Step 3: Cross multiply
    22,674.50x = 34,013.71 × 6,258.50
  4. Step 4: Simplify right side
    22,674.50x = 212,874,804.04
  5. Step 5: Solve for x
    x = 212,874,804.04/22,674.50
  6. Step 6: Final answer
    x = 9,388.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.