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Finding the Fourth Proportional to 24,424.72, 33,706.34 and 14,353.38

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Solution

The fourth proportional to 24,424.72, 33,706.34 and 14,353.38 is: 19,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.72 : 33,706.34 = 14,353.38 : x
  2. Step 2: Convert to fraction form
    24,424.72/33,706.34 = 14,353.38/x
  3. Step 3: Cross multiply
    24,424.72x = 33,706.34 × 14,353.38
  4. Step 4: Simplify right side
    24,424.72x = 483,799,906.43
  5. Step 5: Solve for x
    x = 483,799,906.43/24,424.72
  6. Step 6: Final answer
    x = 19,807.80

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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.