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Finding the Fourth Proportional to 20,722.68, 31,077.54 and 9,024.12

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Solution

The fourth proportional to 20,722.68, 31,077.54 and 9,024.12 is: 13,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722.68 : 31,077.54 = 9,024.12 : x
  2. Step 2: Convert to fraction form
    20,722.68/31,077.54 = 9,024.12/x
  3. Step 3: Cross multiply
    20,722.68x = 31,077.54 × 9,024.12
  4. Step 4: Simplify right side
    20,722.68x = 280,447,450.26
  5. Step 5: Solve for x
    x = 280,447,450.26/20,722.68
  6. Step 6: Final answer
    x = 13,533.36

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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.