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Finding the Fourth Proportional to 27,267.24, 37,629.18 and 16,089.24

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Solution

The fourth proportional to 27,267.24, 37,629.18 and 16,089.24 is: 22,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,267.24 : 37,629.18 = 16,089.24 : x
  2. Step 2: Convert to fraction form
    27,267.24/37,629.18 = 16,089.24/x
  3. Step 3: Cross multiply
    27,267.24x = 37,629.18 × 16,089.24
  4. Step 4: Simplify right side
    27,267.24x = 605,424,908.02
  5. Step 5: Solve for x
    x = 605,424,908.02/27,267.24
  6. Step 6: Final answer
    x = 22,203.38

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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.