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Finding the Fourth Proportional to 16,297.30, 22,490.76 and 9,223.54

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Solution

The fourth proportional to 16,297.30, 22,490.76 and 9,223.54 is: 12,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.30 : 22,490.76 = 9,223.54 : x
  2. Step 2: Convert to fraction form
    16,297.30/22,490.76 = 9,223.54/x
  3. Step 3: Cross multiply
    16,297.30x = 22,490.76 × 9,223.54
  4. Step 4: Simplify right side
    16,297.30x = 207,444,424.49
  5. Step 5: Solve for x
    x = 207,444,424.49/16,297.30
  6. Step 6: Final answer
    x = 12,728.76

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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.