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Finding the Fourth Proportional to 18,415.20, 27,640.20 and 9,656.40

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Solution

The fourth proportional to 18,415.20, 27,640.20 and 9,656.40 is: 14,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.20 : 27,640.20 = 9,656.40 : x
  2. Step 2: Convert to fraction form
    18,415.20/27,640.20 = 9,656.40/x
  3. Step 3: Cross multiply
    18,415.20x = 27,640.20 × 9,656.40
  4. Step 4: Simplify right side
    18,415.20x = 266,904,827.28
  5. Step 5: Solve for x
    x = 266,904,827.28/18,415.20
  6. Step 6: Final answer
    x = 14,493.72

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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.