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Finding the Fourth Proportional to 16,297.86, 22,490.85 and 9,224.10

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Solution

The fourth proportional to 16,297.86, 22,490.85 and 9,224.10 is: 12,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.86 : 22,490.85 = 9,224.10 : x
  2. Step 2: Convert to fraction form
    16,297.86/22,490.85 = 9,224.10/x
  3. Step 3: Cross multiply
    16,297.86x = 22,490.85 × 9,224.10
  4. Step 4: Simplify right side
    16,297.86x = 207,457,849.49
  5. Step 5: Solve for x
    x = 207,457,849.49/16,297.86
  6. Step 6: Final answer
    x = 12,729.15

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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.