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Finding the Fourth Proportional to 27,737.40, 38,290.38 and 17,133.24

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Solution

The fourth proportional to 27,737.40, 38,290.38 and 17,133.24 is: 23,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737.40 : 38,290.38 = 17,133.24 : x
  2. Step 2: Convert to fraction form
    27,737.40/38,290.38 = 17,133.24/x
  3. Step 3: Cross multiply
    27,737.40x = 38,290.38 × 17,133.24
  4. Step 4: Simplify right side
    27,737.40x = 656,038,270.23
  5. Step 5: Solve for x
    x = 656,038,270.23/27,737.40
  6. Step 6: Final answer
    x = 23,651.76

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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.