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Finding the Fourth Proportional to 16,309.84, 22,509.42 and 9,236.68

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Solution

The fourth proportional to 16,309.84, 22,509.42 and 9,236.68 is: 12,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.84 : 22,509.42 = 9,236.68 : x
  2. Step 2: Convert to fraction form
    16,309.84/22,509.42 = 9,236.68/x
  3. Step 3: Cross multiply
    16,309.84x = 22,509.42 × 9,236.68
  4. Step 4: Simplify right side
    16,309.84x = 207,912,309.53
  5. Step 5: Solve for x
    x = 207,912,309.53/16,309.84
  6. Step 6: Final answer
    x = 12,747.66

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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.