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Finding the Fourth Proportional to 22,709.24, 31,343.10 and 12,773.24

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Solution

The fourth proportional to 22,709.24, 31,343.10 and 12,773.24 is: 17,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.24 : 31,343.10 = 12,773.24 : x
  2. Step 2: Convert to fraction form
    22,709.24/31,343.10 = 12,773.24/x
  3. Step 3: Cross multiply
    22,709.24x = 31,343.10 × 12,773.24
  4. Step 4: Simplify right side
    22,709.24x = 400,352,938.64
  5. Step 5: Solve for x
    x = 400,352,938.64/22,709.24
  6. Step 6: Final answer
    x = 17,629.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.