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Finding the Fourth Proportional to 16,543.08, 22,829.36 and 8,989.38

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Solution

The fourth proportional to 16,543.08, 22,829.36 and 8,989.38 is: 12,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.08 : 22,829.36 = 8,989.38 : x
  2. Step 2: Convert to fraction form
    16,543.08/22,829.36 = 8,989.38/x
  3. Step 3: Cross multiply
    16,543.08x = 22,829.36 × 8,989.38
  4. Step 4: Simplify right side
    16,543.08x = 205,221,747.25
  5. Step 5: Solve for x
    x = 205,221,747.25/16,543.08
  6. Step 6: Final answer
    x = 12,405.29

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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.