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Finding the Fourth Proportional to 20,990.70, 31,491.51 and 9,301.14

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Solution

The fourth proportional to 20,990.70, 31,491.51 and 9,301.14 is: 13,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.70 : 31,491.51 = 9,301.14 : x
  2. Step 2: Convert to fraction form
    20,990.70/31,491.51 = 9,301.14/x
  3. Step 3: Cross multiply
    20,990.70x = 31,491.51 × 9,301.14
  4. Step 4: Simplify right side
    20,990.70x = 292,906,943.32
  5. Step 5: Solve for x
    x = 292,906,943.32/20,990.70
  6. Step 6: Final answer
    x = 13,954.13

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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.