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Finding the Fourth Proportional to 22,933.36, 34,401.90 and 8,905

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Solution

The fourth proportional to 22,933.36, 34,401.90 and 8,905 is: 13,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.36 : 34,401.90 = 8,905 : x
  2. Step 2: Convert to fraction form
    22,933.36/34,401.90 = 8,905/x
  3. Step 3: Cross multiply
    22,933.36x = 34,401.90 × 8,905
  4. Step 4: Simplify right side
    22,933.36x = 306,348,919.50
  5. Step 5: Solve for x
    x = 306,348,919.50/22,933.36
  6. Step 6: Final answer
    x = 13,358.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.