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Finding the Fourth Proportional to 14,531.50, 21,800.49 and 5,297.50

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Solution

The fourth proportional to 14,531.50, 21,800.49 and 5,297.50 is: 7,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.50 : 21,800.49 = 5,297.50 : x
  2. Step 2: Convert to fraction form
    14,531.50/21,800.49 = 5,297.50/x
  3. Step 3: Cross multiply
    14,531.50x = 21,800.49 × 5,297.50
  4. Step 4: Simplify right side
    14,531.50x = 115,488,095.78
  5. Step 5: Solve for x
    x = 115,488,095.78/14,531.50
  6. Step 6: Final answer
    x = 7,947.43

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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.