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Finding the Fourth Proportional to 20,172.38, 30,256.14 and 7,023.65

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Solution

The fourth proportional to 20,172.38, 30,256.14 and 7,023.65 is: 10,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.38 : 30,256.14 = 7,023.65 : x
  2. Step 2: Convert to fraction form
    20,172.38/30,256.14 = 7,023.65/x
  3. Step 3: Cross multiply
    20,172.38x = 30,256.14 × 7,023.65
  4. Step 4: Simplify right side
    20,172.38x = 212,508,537.71
  5. Step 5: Solve for x
    x = 212,508,537.71/20,172.38
  6. Step 6: Final answer
    x = 10,534.63

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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.