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Finding the Fourth Proportional to 13,683.80, 18,883.65 and 7,396.17

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Solution

The fourth proportional to 13,683.80, 18,883.65 and 7,396.17 is: 10,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.80 : 18,883.65 = 7,396.17 : x
  2. Step 2: Convert to fraction form
    13,683.80/18,883.65 = 7,396.17/x
  3. Step 3: Cross multiply
    13,683.80x = 18,883.65 × 7,396.17
  4. Step 4: Simplify right side
    13,683.80x = 139,666,685.62
  5. Step 5: Solve for x
    x = 139,666,685.62/13,683.80
  6. Step 6: Final answer
    x = 10,206.72

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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.