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Finding the Fourth Proportional to 22,107.64, 30,499.51 and 13,607.20

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Solution

The fourth proportional to 22,107.64, 30,499.51 and 13,607.20 is: 18,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.64 : 30,499.51 = 13,607.20 : x
  2. Step 2: Convert to fraction form
    22,107.64/30,499.51 = 13,607.20/x
  3. Step 3: Cross multiply
    22,107.64x = 30,499.51 × 13,607.20
  4. Step 4: Simplify right side
    22,107.64x = 415,012,932.47
  5. Step 5: Solve for x
    x = 415,012,932.47/22,107.64
  6. Step 6: Final answer
    x = 18,772.38

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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.