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Finding the Fourth Proportional to 13,468.42, 20,200.04 and 7,915.28

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Solution

The fourth proportional to 13,468.42, 20,200.04 and 7,915.28 is: 11,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.42 : 20,200.04 = 7,915.28 : x
  2. Step 2: Convert to fraction form
    13,468.42/20,200.04 = 7,915.28/x
  3. Step 3: Cross multiply
    13,468.42x = 20,200.04 × 7,915.28
  4. Step 4: Simplify right side
    13,468.42x = 159,888,832.03
  5. Step 5: Solve for x
    x = 159,888,832.03/13,468.42
  6. Step 6: Final answer
    x = 11,871.39

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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.