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Finding the Fourth Proportional to 24,324.71, 36,480.78 and 16,423.16

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Solution

The fourth proportional to 24,324.71, 36,480.78 and 16,423.16 is: 24,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.71 : 36,480.78 = 16,423.16 : x
  2. Step 2: Convert to fraction form
    24,324.71/36,480.78 = 16,423.16/x
  3. Step 3: Cross multiply
    24,324.71x = 36,480.78 × 16,423.16
  4. Step 4: Simplify right side
    24,324.71x = 599,129,504.46
  5. Step 5: Solve for x
    x = 599,129,504.46/24,324.71
  6. Step 6: Final answer
    x = 24,630.49

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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.