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Finding the Fourth Proportional to 20,697.68, 31,022.22 and 9,580.89

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Solution

The fourth proportional to 20,697.68, 31,022.22 and 9,580.89 is: 14,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.68 : 31,022.22 = 9,580.89 : x
  2. Step 2: Convert to fraction form
    20,697.68/31,022.22 = 9,580.89/x
  3. Step 3: Cross multiply
    20,697.68x = 31,022.22 × 9,580.89
  4. Step 4: Simplify right side
    20,697.68x = 297,220,477.38
  5. Step 5: Solve for x
    x = 297,220,477.38/20,697.68
  6. Step 6: Final answer
    x = 14,360.09

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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.