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Finding the Fourth Proportional to 16,350.33, 22,562.78 and 9,277.14

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Solution

The fourth proportional to 16,350.33, 22,562.78 and 9,277.14 is: 12,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350.33 : 22,562.78 = 9,277.14 : x
  2. Step 2: Convert to fraction form
    16,350.33/22,562.78 = 9,277.14/x
  3. Step 3: Cross multiply
    16,350.33x = 22,562.78 × 9,277.14
  4. Step 4: Simplify right side
    16,350.33x = 209,318,022.46
  5. Step 5: Solve for x
    x = 209,318,022.46/16,350.33
  6. Step 6: Final answer
    x = 12,802.07

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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.