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Finding the Fourth Proportional to 22,801.74, 31,466.16 and 12,729.96

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Solution

The fourth proportional to 22,801.74, 31,466.16 and 12,729.96 is: 17,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.74 : 31,466.16 = 12,729.96 : x
  2. Step 2: Convert to fraction form
    22,801.74/31,466.16 = 12,729.96/x
  3. Step 3: Cross multiply
    22,801.74x = 31,466.16 × 12,729.96
  4. Step 4: Simplify right side
    22,801.74x = 400,562,958.15
  5. Step 5: Solve for x
    x = 400,562,958.15/22,801.74
  6. Step 6: Final answer
    x = 17,567.21

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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.