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Finding the Fourth Proportional to 16,793.24, 25,155.28 and 9,851

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Solution

The fourth proportional to 16,793.24, 25,155.28 and 9,851 is: 14,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,793.24 : 25,155.28 = 9,851 : x
  2. Step 2: Convert to fraction form
    16,793.24/25,155.28 = 9,851/x
  3. Step 3: Cross multiply
    16,793.24x = 25,155.28 × 9,851
  4. Step 4: Simplify right side
    16,793.24x = 247,804,663.28
  5. Step 5: Solve for x
    x = 247,804,663.28/16,793.24
  6. Step 6: Final answer
    x = 14,756.22

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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.