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Finding the Fourth Proportional to 20,495.49, 30,744.26 and 9,397.14

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Solution

The fourth proportional to 20,495.49, 30,744.26 and 9,397.14 is: 14,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.49 : 30,744.26 = 9,397.14 : x
  2. Step 2: Convert to fraction form
    20,495.49/30,744.26 = 9,397.14/x
  3. Step 3: Cross multiply
    20,495.49x = 30,744.26 × 9,397.14
  4. Step 4: Simplify right side
    20,495.49x = 288,908,068.43
  5. Step 5: Solve for x
    x = 288,908,068.43/20,495.49
  6. Step 6: Final answer
    x = 14,096.18

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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.