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Finding the Fourth Proportional to 16,298.80, 24,443.94 and 5,767.79

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Solution

The fourth proportional to 16,298.80, 24,443.94 and 5,767.79 is: 8,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.80 : 24,443.94 = 5,767.79 : x
  2. Step 2: Convert to fraction form
    16,298.80/24,443.94 = 5,767.79/x
  3. Step 3: Cross multiply
    16,298.80x = 24,443.94 × 5,767.79
  4. Step 4: Simplify right side
    16,298.80x = 140,987,412.10
  5. Step 5: Solve for x
    x = 140,987,412.10/16,298.80
  6. Step 6: Final answer
    x = 8,650.17

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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.