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Finding the Fourth Proportional to 22,242.96, 30,696 and 12,682.68

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Solution

The fourth proportional to 22,242.96, 30,696 and 12,682.68 is: 17,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242.96 : 30,696 = 12,682.68 : x
  2. Step 2: Convert to fraction form
    22,242.96/30,696 = 12,682.68/x
  3. Step 3: Cross multiply
    22,242.96x = 30,696 × 12,682.68
  4. Step 4: Simplify right side
    22,242.96x = 389,307,545.28
  5. Step 5: Solve for x
    x = 389,307,545.28/22,242.96
  6. Step 6: Final answer
    x = 17,502.51

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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.