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Finding the Fourth Proportional to 22,035.32, 30,408.44 and 11,964.16

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Solution

The fourth proportional to 22,035.32, 30,408.44 and 11,964.16 is: 16,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.32 : 30,408.44 = 11,964.16 : x
  2. Step 2: Convert to fraction form
    22,035.32/30,408.44 = 11,964.16/x
  3. Step 3: Cross multiply
    22,035.32x = 30,408.44 × 11,964.16
  4. Step 4: Simplify right side
    22,035.32x = 363,811,441.51
  5. Step 5: Solve for x
    x = 363,811,441.51/22,035.32
  6. Step 6: Final answer
    x = 16,510.38

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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.