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Finding the Fourth Proportional to 18,386.72, 27,578.64 and 6,702.56

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Solution

The fourth proportional to 18,386.72, 27,578.64 and 6,702.56 is: 10,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,386.72 : 27,578.64 = 6,702.56 : x
  2. Step 2: Convert to fraction form
    18,386.72/27,578.64 = 6,702.56/x
  3. Step 3: Cross multiply
    18,386.72x = 27,578.64 × 6,702.56
  4. Step 4: Simplify right side
    18,386.72x = 184,847,489.32
  5. Step 5: Solve for x
    x = 184,847,489.32/18,386.72
  6. Step 6: Final answer
    x = 10,053.32

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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.