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Finding the Fourth Proportional to 24,243.24, 36,328.38 and 16,425

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Solution

The fourth proportional to 24,243.24, 36,328.38 and 16,425 is: 24,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243.24 : 36,328.38 = 16,425 : x
  2. Step 2: Convert to fraction form
    24,243.24/36,328.38 = 16,425/x
  3. Step 3: Cross multiply
    24,243.24x = 36,328.38 × 16,425
  4. Step 4: Simplify right side
    24,243.24x = 596,693,641.50
  5. Step 5: Solve for x
    x = 596,693,641.50/24,243.24
  6. Step 6: Final answer
    x = 24,612.78

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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.