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Finding the Fourth Proportional to 13,683.47, 18,883.17 and 7,395.84

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Solution

The fourth proportional to 13,683.47, 18,883.17 and 7,395.84 is: 10,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.47 : 18,883.17 = 7,395.84 : x
  2. Step 2: Convert to fraction form
    13,683.47/18,883.17 = 7,395.84/x
  3. Step 3: Cross multiply
    13,683.47x = 18,883.17 × 7,395.84
  4. Step 4: Simplify right side
    13,683.47x = 139,656,904.01
  5. Step 5: Solve for x
    x = 139,656,904.01/13,683.47
  6. Step 6: Final answer
    x = 10,206.25

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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.