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Finding the Fourth Proportional to 16,027.64, 24,041.20 and 6,169.06

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Solution

The fourth proportional to 16,027.64, 24,041.20 and 6,169.06 is: 9,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.64 : 24,041.20 = 6,169.06 : x
  2. Step 2: Convert to fraction form
    16,027.64/24,041.20 = 6,169.06/x
  3. Step 3: Cross multiply
    16,027.64x = 24,041.20 × 6,169.06
  4. Step 4: Simplify right side
    16,027.64x = 148,311,605.27
  5. Step 5: Solve for x
    x = 148,311,605.27/16,027.64
  6. Step 6: Final answer
    x = 9,253.49

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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.