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Finding the Fourth Proportional to 22,753.96, 31,400.34 and 12,682.84

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Solution

The fourth proportional to 22,753.96, 31,400.34 and 12,682.84 is: 17,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.96 : 31,400.34 = 12,682.84 : x
  2. Step 2: Convert to fraction form
    22,753.96/31,400.34 = 12,682.84/x
  3. Step 3: Cross multiply
    22,753.96x = 31,400.34 × 12,682.84
  4. Step 4: Simplify right side
    22,753.96x = 398,245,488.17
  5. Step 5: Solve for x
    x = 398,245,488.17/22,753.96
  6. Step 6: Final answer
    x = 17,502.25

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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.