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Finding the Fourth Proportional to 18,035, 27,052.50 and 6,346.88

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Solution

The fourth proportional to 18,035, 27,052.50 and 6,346.88 is: 9,520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,035 : 27,052.50 = 6,346.88 : x
  2. Step 2: Convert to fraction form
    18,035/27,052.50 = 6,346.88/x
  3. Step 3: Cross multiply
    18,035x = 27,052.50 × 6,346.88
  4. Step 4: Simplify right side
    18,035x = 171,698,971.20
  5. Step 5: Solve for x
    x = 171,698,971.20/18,035
  6. Step 6: Final answer
    x = 9,520.32

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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.