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Finding the Fourth Proportional to 16,024.16, 22,112.48 and 8,949.20

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Solution

The fourth proportional to 16,024.16, 22,112.48 and 8,949.20 is: 12,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.16 : 22,112.48 = 8,949.20 : x
  2. Step 2: Convert to fraction form
    16,024.16/22,112.48 = 8,949.20/x
  3. Step 3: Cross multiply
    16,024.16x = 22,112.48 × 8,949.20
  4. Step 4: Simplify right side
    16,024.16x = 197,889,006.02
  5. Step 5: Solve for x
    x = 197,889,006.02/16,024.16
  6. Step 6: Final answer
    x = 12,349.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.