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Finding the Fourth Proportional to 22,752.81, 31,401.42 and 12,682.17

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Solution

The fourth proportional to 22,752.81, 31,401.42 and 12,682.17 is: 17,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.81 : 31,401.42 = 12,682.17 : x
  2. Step 2: Convert to fraction form
    22,752.81/31,401.42 = 12,682.17/x
  3. Step 3: Cross multiply
    22,752.81x = 31,401.42 × 12,682.17
  4. Step 4: Simplify right side
    22,752.81x = 398,238,146.68
  5. Step 5: Solve for x
    x = 398,238,146.68/22,752.81
  6. Step 6: Final answer
    x = 17,502.81

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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.