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Finding the Fourth Proportional to 13,682.78, 18,882.18 and 7,395.14

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Solution

The fourth proportional to 13,682.78, 18,882.18 and 7,395.14 is: 10,205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.78 : 18,882.18 = 7,395.14 : x
  2. Step 2: Convert to fraction form
    13,682.78/18,882.18 = 7,395.14/x
  3. Step 3: Cross multiply
    13,682.78x = 18,882.18 × 7,395.14
  4. Step 4: Simplify right side
    13,682.78x = 139,636,364.61
  5. Step 5: Solve for x
    x = 139,636,364.61/13,682.78
  6. Step 6: Final answer
    x = 10,205.26

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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.