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Finding the Fourth Proportional to 20,500.52, 30,720.87 and 9,088.68

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Solution

The fourth proportional to 20,500.52, 30,720.87 and 9,088.68 is: 13,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.52 : 30,720.87 = 9,088.68 : x
  2. Step 2: Convert to fraction form
    20,500.52/30,720.87 = 9,088.68/x
  3. Step 3: Cross multiply
    20,500.52x = 30,720.87 × 9,088.68
  4. Step 4: Simplify right side
    20,500.52x = 279,212,161.07
  5. Step 5: Solve for x
    x = 279,212,161.07/20,500.52
  6. Step 6: Final answer
    x = 13,619.76

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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.