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Finding the Fourth Proportional to 12,122.28, 16,730.01 and 7,409.70

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Solution

The fourth proportional to 12,122.28, 16,730.01 and 7,409.70 is: 10,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.28 : 16,730.01 = 7,409.70 : x
  2. Step 2: Convert to fraction form
    12,122.28/16,730.01 = 7,409.70/x
  3. Step 3: Cross multiply
    12,122.28x = 16,730.01 × 7,409.70
  4. Step 4: Simplify right side
    12,122.28x = 123,964,355.10
  5. Step 5: Solve for x
    x = 123,964,355.10/12,122.28
  6. Step 6: Final answer
    x = 10,226.16

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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.