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Finding the Fourth Proportional to 12,154.16, 18,221.36 and 5,129.64

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Solution

The fourth proportional to 12,154.16, 18,221.36 and 5,129.64 is: 7,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.16 : 18,221.36 = 5,129.64 : x
  2. Step 2: Convert to fraction form
    12,154.16/18,221.36 = 5,129.64/x
  3. Step 3: Cross multiply
    12,154.16x = 18,221.36 × 5,129.64
  4. Step 4: Simplify right side
    12,154.16x = 93,469,017.11
  5. Step 5: Solve for x
    x = 93,469,017.11/12,154.16
  6. Step 6: Final answer
    x = 7,690.29

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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.