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Finding the Fourth Proportional to 16,351.74, 22,563.81 and 9,278.10

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Solution

The fourth proportional to 16,351.74, 22,563.81 and 9,278.10 is: 12,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351.74 : 22,563.81 = 9,278.10 : x
  2. Step 2: Convert to fraction form
    16,351.74/22,563.81 = 9,278.10/x
  3. Step 3: Cross multiply
    16,351.74x = 22,563.81 × 9,278.10
  4. Step 4: Simplify right side
    16,351.74x = 209,349,285.56
  5. Step 5: Solve for x
    x = 209,349,285.56/16,351.74
  6. Step 6: Final answer
    x = 12,802.88

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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.