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Finding the Fourth Proportional to 20,172.24, 30,258.72 and 7,024.86

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Solution

The fourth proportional to 20,172.24, 30,258.72 and 7,024.86 is: 10,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.24 : 30,258.72 = 7,024.86 : x
  2. Step 2: Convert to fraction form
    20,172.24/30,258.72 = 7,024.86/x
  3. Step 3: Cross multiply
    20,172.24x = 30,258.72 × 7,024.86
  4. Step 4: Simplify right side
    20,172.24x = 212,563,271.78
  5. Step 5: Solve for x
    x = 212,563,271.78/20,172.24
  6. Step 6: Final answer
    x = 10,537.42

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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.