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Finding the Fourth Proportional to 13,468.16, 20,168 and 11,271.36

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Solution

The fourth proportional to 13,468.16, 20,168 and 11,271.36 is: 16,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.16 : 20,168 = 11,271.36 : x
  2. Step 2: Convert to fraction form
    13,468.16/20,168 = 11,271.36/x
  3. Step 3: Cross multiply
    13,468.16x = 20,168 × 11,271.36
  4. Step 4: Simplify right side
    13,468.16x = 227,320,788.48
  5. Step 5: Solve for x
    x = 227,320,788.48/13,468.16
  6. Step 6: Final answer
    x = 16,878.38

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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.