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Finding the Fourth Proportional to 12,119.36, 16,737.12 and 7,406.72

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Solution

The fourth proportional to 12,119.36, 16,737.12 and 7,406.72 is: 10,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.36 : 16,737.12 = 7,406.72 : x
  2. Step 2: Convert to fraction form
    12,119.36/16,737.12 = 7,406.72/x
  3. Step 3: Cross multiply
    12,119.36x = 16,737.12 × 7,406.72
  4. Step 4: Simplify right side
    12,119.36x = 123,967,161.45
  5. Step 5: Solve for x
    x = 123,967,161.45/12,119.36
  6. Step 6: Final answer
    x = 10,228.85

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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.