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Finding the Fourth Proportional to 13,265.66, 19,921.26 and 12,164.42

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Solution

The fourth proportional to 13,265.66, 19,921.26 and 12,164.42 is: 18,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.66 : 19,921.26 = 12,164.42 : x
  2. Step 2: Convert to fraction form
    13,265.66/19,921.26 = 12,164.42/x
  3. Step 3: Cross multiply
    13,265.66x = 19,921.26 × 12,164.42
  4. Step 4: Simplify right side
    13,265.66x = 242,330,473.96
  5. Step 5: Solve for x
    x = 242,330,473.96/13,265.66
  6. Step 6: Final answer
    x = 18,267.51

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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.