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Finding the Fourth Proportional to 22,986.72, 34,477.48 and 6,349.12

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Solution

The fourth proportional to 22,986.72, 34,477.48 and 6,349.12 is: 9,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.72 : 34,477.48 = 6,349.12 : x
  2. Step 2: Convert to fraction form
    22,986.72/34,477.48 = 6,349.12/x
  3. Step 3: Cross multiply
    22,986.72x = 34,477.48 × 6,349.12
  4. Step 4: Simplify right side
    22,986.72x = 218,901,579.56
  5. Step 5: Solve for x
    x = 218,901,579.56/22,986.72
  6. Step 6: Final answer
    x = 9,522.96

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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.