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Finding the Fourth Proportional to 16,121.86, 22,249.16 and 9,048.29

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Solution

The fourth proportional to 16,121.86, 22,249.16 and 9,048.29 is: 12,487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.86 : 22,249.16 = 9,048.29 : x
  2. Step 2: Convert to fraction form
    16,121.86/22,249.16 = 9,048.29/x
  3. Step 3: Cross multiply
    16,121.86x = 22,249.16 × 9,048.29
  4. Step 4: Simplify right side
    16,121.86x = 201,316,695.45
  5. Step 5: Solve for x
    x = 201,316,695.45/16,121.86
  6. Step 6: Final answer
    x = 12,487.19

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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.