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Finding the Fourth Proportional to 16,206, 22,363.72 and 9,132

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Solution

The fourth proportional to 16,206, 22,363.72 and 9,132 is: 12,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 22,363.72 = 9,132 : x
  2. Step 2: Convert to fraction form
    16,206/22,363.72 = 9,132/x
  3. Step 3: Cross multiply
    16,206x = 22,363.72 × 9,132
  4. Step 4: Simplify right side
    16,206x = 204,225,491.04
  5. Step 5: Solve for x
    x = 204,225,491.04/16,206
  6. Step 6: Final answer
    x = 12,601.84

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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.