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Finding the Fourth Proportional to 16,353, 24,417.81 and 13,424.04

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Solution

The fourth proportional to 16,353, 24,417.81 and 13,424.04 is: 20,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353 : 24,417.81 = 13,424.04 : x
  2. Step 2: Convert to fraction form
    16,353/24,417.81 = 13,424.04/x
  3. Step 3: Cross multiply
    16,353x = 24,417.81 × 13,424.04
  4. Step 4: Simplify right side
    16,353x = 327,785,658.15
  5. Step 5: Solve for x
    x = 327,785,658.15/16,353
  6. Step 6: Final answer
    x = 20,044.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.