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Finding the Fourth Proportional to 13,698.36, 20,538.96 and 6,293.34

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Solution

The fourth proportional to 13,698.36, 20,538.96 and 6,293.34 is: 9,436.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.36 : 20,538.96 = 6,293.34 : x
  2. Step 2: Convert to fraction form
    13,698.36/20,538.96 = 6,293.34/x
  3. Step 3: Cross multiply
    13,698.36x = 20,538.96 × 6,293.34
  4. Step 4: Simplify right side
    13,698.36x = 129,258,658.53
  5. Step 5: Solve for x
    x = 129,258,658.53/13,698.36
  6. Step 6: Final answer
    x = 9,436.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.