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Finding the Fourth Proportional to 16,154.92, 22,292.65 and 9,082.41

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Solution

The fourth proportional to 16,154.92, 22,292.65 and 9,082.41 is: 12,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.92 : 22,292.65 = 9,082.41 : x
  2. Step 2: Convert to fraction form
    16,154.92/22,292.65 = 9,082.41/x
  3. Step 3: Cross multiply
    16,154.92x = 22,292.65 × 9,082.41
  4. Step 4: Simplify right side
    16,154.92x = 202,470,987.29
  5. Step 5: Solve for x
    x = 202,470,987.29/16,154.92
  6. Step 6: Final answer
    x = 12,533.09

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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.