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Finding the Fourth Proportional to 20,949.84, 31,446.63 and 9,271.26

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Solution

The fourth proportional to 20,949.84, 31,446.63 and 9,271.26 is: 13,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,949.84 : 31,446.63 = 9,271.26 : x
  2. Step 2: Convert to fraction form
    20,949.84/31,446.63 = 9,271.26/x
  3. Step 3: Cross multiply
    20,949.84x = 31,446.63 × 9,271.26
  4. Step 4: Simplify right side
    20,949.84x = 291,549,882.85
  5. Step 5: Solve for x
    x = 291,549,882.85/20,949.84
  6. Step 6: Final answer
    x = 13,916.57

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