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Finding the Fourth Proportional to 13,438.36, 20,157.54 and 6,508

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Solution

The fourth proportional to 13,438.36, 20,157.54 and 6,508 is: 9,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.36 : 20,157.54 = 6,508 : x
  2. Step 2: Convert to fraction form
    13,438.36/20,157.54 = 6,508/x
  3. Step 3: Cross multiply
    13,438.36x = 20,157.54 × 6,508
  4. Step 4: Simplify right side
    13,438.36x = 131,185,270.32
  5. Step 5: Solve for x
    x = 131,185,270.32/13,438.36
  6. Step 6: Final answer
    x = 9,762

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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.