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Finding the Fourth Proportional to 16,150.69, 22,288.04 and 9,077.05

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Solution

The fourth proportional to 16,150.69, 22,288.04 and 9,077.05 is: 12,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,150.69 : 22,288.04 = 9,077.05 : x
  2. Step 2: Convert to fraction form
    16,150.69/22,288.04 = 9,077.05/x
  3. Step 3: Cross multiply
    16,150.69x = 22,288.04 × 9,077.05
  4. Step 4: Simplify right side
    16,150.69x = 202,309,608.10
  5. Step 5: Solve for x
    x = 202,309,608.10/16,150.69
  6. Step 6: Final answer
    x = 12,526.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.