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Finding the Fourth Proportional to 22,823.90, 31,493.84 and 12,751.09

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Solution

The fourth proportional to 22,823.90, 31,493.84 and 12,751.09 is: 17,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.90 : 31,493.84 = 12,751.09 : x
  2. Step 2: Convert to fraction form
    22,823.90/31,493.84 = 12,751.09/x
  3. Step 3: Cross multiply
    22,823.90x = 31,493.84 × 12,751.09
  4. Step 4: Simplify right side
    22,823.90x = 401,580,630.82
  5. Step 5: Solve for x
    x = 401,580,630.82/22,823.90
  6. Step 6: Final answer
    x = 17,594.75

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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.