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Finding the Fourth Proportional to 22,933, 34,401.12 and 9,082

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Solution

The fourth proportional to 22,933, 34,401.12 and 9,082 is: 13,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933 : 34,401.12 = 9,082 : x
  2. Step 2: Convert to fraction form
    22,933/34,401.12 = 9,082/x
  3. Step 3: Cross multiply
    22,933x = 34,401.12 × 9,082
  4. Step 4: Simplify right side
    22,933x = 312,430,971.84
  5. Step 5: Solve for x
    x = 312,430,971.84/22,933
  6. Step 6: Final answer
    x = 13,623.64

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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.