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Finding the Fourth Proportional to 18,540.12, 27,807.86 and 6,059.10

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Solution

The fourth proportional to 18,540.12, 27,807.86 and 6,059.10 is: 9,087.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.12 : 27,807.86 = 6,059.10 : x
  2. Step 2: Convert to fraction form
    18,540.12/27,807.86 = 6,059.10/x
  3. Step 3: Cross multiply
    18,540.12x = 27,807.86 × 6,059.10
  4. Step 4: Simplify right side
    18,540.12x = 168,490,619.67
  5. Step 5: Solve for x
    x = 168,490,619.67/18,540.12
  6. Step 6: Final answer
    x = 9,087.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.