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Finding the Fourth Proportional to 20,172.40, 30,256.14 and 7,023.64

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Solution

The fourth proportional to 20,172.40, 30,256.14 and 7,023.64 is: 10,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.40 : 30,256.14 = 7,023.64 : x
  2. Step 2: Convert to fraction form
    20,172.40/30,256.14 = 7,023.64/x
  3. Step 3: Cross multiply
    20,172.40x = 30,256.14 × 7,023.64
  4. Step 4: Simplify right side
    20,172.40x = 212,508,235.15
  5. Step 5: Solve for x
    x = 212,508,235.15/20,172.40
  6. Step 6: Final answer
    x = 10,534.60

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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.