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Finding the Fourth Proportional to 24,806, 37,174.08 and 19,233.38

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Solution

The fourth proportional to 24,806, 37,174.08 and 19,233.38 is: 28,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806 : 37,174.08 = 19,233.38 : x
  2. Step 2: Convert to fraction form
    24,806/37,174.08 = 19,233.38/x
  3. Step 3: Cross multiply
    24,806x = 37,174.08 × 19,233.38
  4. Step 4: Simplify right side
    24,806x = 714,983,206.79
  5. Step 5: Solve for x
    x = 714,983,206.79/24,806
  6. Step 6: Final answer
    x = 28,822.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.