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Finding the Fourth Proportional to 16,091.13, 22,205.76 and 9,017.60

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Solution

The fourth proportional to 16,091.13, 22,205.76 and 9,017.60 is: 12,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.13 : 22,205.76 = 9,017.60 : x
  2. Step 2: Convert to fraction form
    16,091.13/22,205.76 = 9,017.60/x
  3. Step 3: Cross multiply
    16,091.13x = 22,205.76 × 9,017.60
  4. Step 4: Simplify right side
    16,091.13x = 200,242,661.38
  5. Step 5: Solve for x
    x = 200,242,661.38/16,091.13
  6. Step 6: Final answer
    x = 12,444.29

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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.