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Finding the Fourth Proportional to 18,509, 27,766.39 and 6,026.08

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Solution

The fourth proportional to 18,509, 27,766.39 and 6,026.08 is: 9,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509 : 27,766.39 = 6,026.08 : x
  2. Step 2: Convert to fraction form
    18,509/27,766.39 = 6,026.08/x
  3. Step 3: Cross multiply
    18,509x = 27,766.39 × 6,026.08
  4. Step 4: Simplify right side
    18,509x = 167,322,387.90
  5. Step 5: Solve for x
    x = 167,322,387.90/18,509
  6. Step 6: Final answer
    x = 9,040.06

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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.