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Finding the Fourth Proportional to 22,829.44, 31,506.08 and 12,757.92

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Solution

The fourth proportional to 22,829.44, 31,506.08 and 12,757.92 is: 17,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.44 : 31,506.08 = 12,757.92 : x
  2. Step 2: Convert to fraction form
    22,829.44/31,506.08 = 12,757.92/x
  3. Step 3: Cross multiply
    22,829.44x = 31,506.08 × 12,757.92
  4. Step 4: Simplify right side
    22,829.44x = 401,952,048.15
  5. Step 5: Solve for x
    x = 401,952,048.15/22,829.44
  6. Step 6: Final answer
    x = 17,606.74

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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.