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Finding the Fourth Proportional to 22,064.40, 30,448.54 and 11,993.16

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Solution

The fourth proportional to 22,064.40, 30,448.54 and 11,993.16 is: 16,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,064.40 : 30,448.54 = 11,993.16 : x
  2. Step 2: Convert to fraction form
    22,064.40/30,448.54 = 11,993.16/x
  3. Step 3: Cross multiply
    22,064.40x = 30,448.54 × 11,993.16
  4. Step 4: Simplify right side
    22,064.40x = 365,174,211.99
  5. Step 5: Solve for x
    x = 365,174,211.99/22,064.40
  6. Step 6: Final answer
    x = 16,550.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.