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Finding the Fourth Proportional to 12,549.39, 18,823.06 and 4,229.23

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Solution

The fourth proportional to 12,549.39, 18,823.06 and 4,229.23 is: 6,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.39 : 18,823.06 = 4,229.23 : x
  2. Step 2: Convert to fraction form
    12,549.39/18,823.06 = 4,229.23/x
  3. Step 3: Cross multiply
    12,549.39x = 18,823.06 × 4,229.23
  4. Step 4: Simplify right side
    12,549.39x = 79,606,934.78
  5. Step 5: Solve for x
    x = 79,606,934.78/12,549.39
  6. Step 6: Final answer
    x = 6,343.49

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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.