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Finding the Fourth Proportional to 13,683.16, 18,882.76 and 7,395.54

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Solution

The fourth proportional to 13,683.16, 18,882.76 and 7,395.54 is: 10,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.16 : 18,882.76 = 7,395.54 : x
  2. Step 2: Convert to fraction form
    13,683.16/18,882.76 = 7,395.54/x
  3. Step 3: Cross multiply
    13,683.16x = 18,882.76 × 7,395.54
  4. Step 4: Simplify right side
    13,683.16x = 139,648,206.89
  5. Step 5: Solve for x
    x = 139,648,206.89/13,683.16
  6. Step 6: Final answer
    x = 10,205.84

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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.