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Finding the Fourth Proportional to 16,243, 24,365.22 and 5,299

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Solution

The fourth proportional to 16,243, 24,365.22 and 5,299 is: 7,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243 : 24,365.22 = 5,299 : x
  2. Step 2: Convert to fraction form
    16,243/24,365.22 = 5,299/x
  3. Step 3: Cross multiply
    16,243x = 24,365.22 × 5,299
  4. Step 4: Simplify right side
    16,243x = 129,111,300.78
  5. Step 5: Solve for x
    x = 129,111,300.78/16,243
  6. Step 6: Final answer
    x = 7,948.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.