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Finding the Fourth Proportional to 18,214.92, 27,333.04 and 7,684.32

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Solution

The fourth proportional to 18,214.92, 27,333.04 and 7,684.32 is: 11,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.92 : 27,333.04 = 7,684.32 : x
  2. Step 2: Convert to fraction form
    18,214.92/27,333.04 = 7,684.32/x
  3. Step 3: Cross multiply
    18,214.92x = 27,333.04 × 7,684.32
  4. Step 4: Simplify right side
    18,214.92x = 210,035,825.93
  5. Step 5: Solve for x
    x = 210,035,825.93/18,214.92
  6. Step 6: Final answer
    x = 11,530.98

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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.