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Finding the Fourth Proportional to 16,165.58, 24,248.25 and 4,157.69

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Solution

The fourth proportional to 16,165.58, 24,248.25 and 4,157.69 is: 6,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.58 : 24,248.25 = 4,157.69 : x
  2. Step 2: Convert to fraction form
    16,165.58/24,248.25 = 4,157.69/x
  3. Step 3: Cross multiply
    16,165.58x = 24,248.25 × 4,157.69
  4. Step 4: Simplify right side
    16,165.58x = 100,816,585.30
  5. Step 5: Solve for x
    x = 100,816,585.30/16,165.58
  6. Step 6: Final answer
    x = 6,236.50

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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.