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Finding the Fourth Proportional to 18,165.25, 27,239.37 and 6,475.74

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Solution

The fourth proportional to 18,165.25, 27,239.37 and 6,475.74 is: 9,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,165.25 : 27,239.37 = 6,475.74 : x
  2. Step 2: Convert to fraction form
    18,165.25/27,239.37 = 6,475.74/x
  3. Step 3: Cross multiply
    18,165.25x = 27,239.37 × 6,475.74
  4. Step 4: Simplify right side
    18,165.25x = 176,395,077.88
  5. Step 5: Solve for x
    x = 176,395,077.88/18,165.25
  6. Step 6: Final answer
    x = 9,710.58

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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.