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Finding the Fourth Proportional to 14,411.50, 21,617.25 and 3,467.50

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Solution

The fourth proportional to 14,411.50, 21,617.25 and 3,467.50 is: 5,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.50 : 21,617.25 = 3,467.50 : x
  2. Step 2: Convert to fraction form
    14,411.50/21,617.25 = 3,467.50/x
  3. Step 3: Cross multiply
    14,411.50x = 21,617.25 × 3,467.50
  4. Step 4: Simplify right side
    14,411.50x = 74,957,814.38
  5. Step 5: Solve for x
    x = 74,957,814.38/14,411.50
  6. Step 6: Final answer
    x = 5,201.25

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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.