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Finding the Fourth Proportional to 16,801.24, 25,205.50 and 5,114.15

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Solution

The fourth proportional to 16,801.24, 25,205.50 and 5,114.15 is: 7,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.24 : 25,205.50 = 5,114.15 : x
  2. Step 2: Convert to fraction form
    16,801.24/25,205.50 = 5,114.15/x
  3. Step 3: Cross multiply
    16,801.24x = 25,205.50 × 5,114.15
  4. Step 4: Simplify right side
    16,801.24x = 128,904,707.83
  5. Step 5: Solve for x
    x = 128,904,707.83/16,801.24
  6. Step 6: Final answer
    x = 7,672.33

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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.