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Finding the Fourth Proportional to 16,155.83, 24,186.76 and 9,896.83

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Solution

The fourth proportional to 16,155.83, 24,186.76 and 9,896.83 is: 14,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155.83 : 24,186.76 = 9,896.83 : x
  2. Step 2: Convert to fraction form
    16,155.83/24,186.76 = 9,896.83/x
  3. Step 3: Cross multiply
    16,155.83x = 24,186.76 × 9,896.83
  4. Step 4: Simplify right side
    16,155.83x = 239,372,251.97
  5. Step 5: Solve for x
    x = 239,372,251.97/16,155.83
  6. Step 6: Final answer
    x = 14,816.46

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1.5x scale

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.