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Finding the Fourth Proportional to 16,351.33, 22,564.15 and 9,278.14

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Solution

The fourth proportional to 16,351.33, 22,564.15 and 9,278.14 is: 12,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351.33 : 22,564.15 = 9,278.14 : x
  2. Step 2: Convert to fraction form
    16,351.33/22,564.15 = 9,278.14/x
  3. Step 3: Cross multiply
    16,351.33x = 22,564.15 × 9,278.14
  4. Step 4: Simplify right side
    16,351.33x = 209,353,342.68
  5. Step 5: Solve for x
    x = 209,353,342.68/16,351.33
  6. Step 6: Final answer
    x = 12,803.44

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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.