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Finding the Fourth Proportional to 20,613, 30,894.14 and 9,504.26

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Solution

The fourth proportional to 20,613, 30,894.14 and 9,504.26 is: 14,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613 : 30,894.14 = 9,504.26 : x
  2. Step 2: Convert to fraction form
    20,613/30,894.14 = 9,504.26/x
  3. Step 3: Cross multiply
    20,613x = 30,894.14 × 9,504.26
  4. Step 4: Simplify right side
    20,613x = 293,625,939.04
  5. Step 5: Solve for x
    x = 293,625,939.04/20,613
  6. Step 6: Final answer
    x = 14,244.70

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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.