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Finding the Fourth Proportional to 13,538.16, 18,683.40 and 7,874.64

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Solution

The fourth proportional to 13,538.16, 18,683.40 and 7,874.64 is: 10,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.16 : 18,683.40 = 7,874.64 : x
  2. Step 2: Convert to fraction form
    13,538.16/18,683.40 = 7,874.64/x
  3. Step 3: Cross multiply
    13,538.16x = 18,683.40 × 7,874.64
  4. Step 4: Simplify right side
    13,538.16x = 147,125,048.98
  5. Step 5: Solve for x
    x = 147,125,048.98/13,538.16
  6. Step 6: Final answer
    x = 10,867.43

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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.