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Finding the Fourth Proportional to 16,291.36, 22,480.56 and 9,218.32

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Solution

The fourth proportional to 16,291.36, 22,480.56 and 9,218.32 is: 12,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.36 : 22,480.56 = 9,218.32 : x
  2. Step 2: Convert to fraction form
    16,291.36/22,480.56 = 9,218.32/x
  3. Step 3: Cross multiply
    16,291.36x = 22,480.56 × 9,218.32
  4. Step 4: Simplify right side
    16,291.36x = 207,232,995.86
  5. Step 5: Solve for x
    x = 207,232,995.86/16,291.36
  6. Step 6: Final answer
    x = 12,720.42

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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.