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Finding the Fourth Proportional to 16,298.82, 22,490.73 and 9,224.01

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Solution

The fourth proportional to 16,298.82, 22,490.73 and 9,224.01 is: 12,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.82 : 22,490.73 = 9,224.01 : x
  2. Step 2: Convert to fraction form
    16,298.82/22,490.73 = 9,224.01/x
  3. Step 3: Cross multiply
    16,298.82x = 22,490.73 × 9,224.01
  4. Step 4: Simplify right side
    16,298.82x = 207,454,718.43
  5. Step 5: Solve for x
    x = 207,454,718.43/16,298.82
  6. Step 6: Final answer
    x = 12,728.20

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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.