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Finding the Fourth Proportional to 22,401.72, 30,909.41 and 12,964.82

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Solution

The fourth proportional to 22,401.72, 30,909.41 and 12,964.82 is: 17,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401.72 : 30,909.41 = 12,964.82 : x
  2. Step 2: Convert to fraction form
    22,401.72/30,909.41 = 12,964.82/x
  3. Step 3: Cross multiply
    22,401.72x = 30,909.41 × 12,964.82
  4. Step 4: Simplify right side
    22,401.72x = 400,734,839.13
  5. Step 5: Solve for x
    x = 400,734,839.13/22,401.72
  6. Step 6: Final answer
    x = 17,888.57

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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.