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Finding the Fourth Proportional to 18,117.92, 27,168.24 and 7,724

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Solution

The fourth proportional to 18,117.92, 27,168.24 and 7,724 is: 11,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117.92 : 27,168.24 = 7,724 : x
  2. Step 2: Convert to fraction form
    18,117.92/27,168.24 = 7,724/x
  3. Step 3: Cross multiply
    18,117.92x = 27,168.24 × 7,724
  4. Step 4: Simplify right side
    18,117.92x = 209,847,485.76
  5. Step 5: Solve for x
    x = 209,847,485.76/18,117.92
  6. Step 6: Final answer
    x = 11,582.32

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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.