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Finding the Fourth Proportional to 16,125.81, 24,198.06 and 6,765

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Solution

The fourth proportional to 16,125.81, 24,198.06 and 6,765 is: 10,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125.81 : 24,198.06 = 6,765 : x
  2. Step 2: Convert to fraction form
    16,125.81/24,198.06 = 6,765/x
  3. Step 3: Cross multiply
    16,125.81x = 24,198.06 × 6,765
  4. Step 4: Simplify right side
    16,125.81x = 163,699,875.90
  5. Step 5: Solve for x
    x = 163,699,875.90/16,125.81
  6. Step 6: Final answer
    x = 10,151.42

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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.