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Finding the Fourth Proportional to 16,006.22, 24,021.57 and 7,247.28

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Solution

The fourth proportional to 16,006.22, 24,021.57 and 7,247.28 is: 10,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.22 : 24,021.57 = 7,247.28 : x
  2. Step 2: Convert to fraction form
    16,006.22/24,021.57 = 7,247.28/x
  3. Step 3: Cross multiply
    16,006.22x = 24,021.57 × 7,247.28
  4. Step 4: Simplify right side
    16,006.22x = 174,091,071.01
  5. Step 5: Solve for x
    x = 174,091,071.01/16,006.22
  6. Step 6: Final answer
    x = 10,876.47

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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.