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Finding the Fourth Proportional to 22,768.90, 31,421.26 and 12,697.98

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Solution

The fourth proportional to 22,768.90, 31,421.26 and 12,697.98 is: 17,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.90 : 31,421.26 = 12,697.98 : x
  2. Step 2: Convert to fraction form
    22,768.90/31,421.26 = 12,697.98/x
  3. Step 3: Cross multiply
    22,768.90x = 31,421.26 × 12,697.98
  4. Step 4: Simplify right side
    22,768.90x = 398,986,531.05
  5. Step 5: Solve for x
    x = 398,986,531.05/22,768.90
  6. Step 6: Final answer
    x = 17,523.31

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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.