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Finding the Fourth Proportional to 22,984.86, 34,477.29 and 6,344.34

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Solution

The fourth proportional to 22,984.86, 34,477.29 and 6,344.34 is: 9,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.86 : 34,477.29 = 6,344.34 : x
  2. Step 2: Convert to fraction form
    22,984.86/34,477.29 = 6,344.34/x
  3. Step 3: Cross multiply
    22,984.86x = 34,477.29 × 6,344.34
  4. Step 4: Simplify right side
    22,984.86x = 218,735,650.04
  5. Step 5: Solve for x
    x = 218,735,650.04/22,984.86
  6. Step 6: Final answer
    x = 9,516.51

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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.