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Finding the Fourth Proportional to 27,184.24, 40,781.86 and 9,655.44

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Solution

The fourth proportional to 27,184.24, 40,781.86 and 9,655.44 is: 14,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.24 : 40,781.86 = 9,655.44 : x
  2. Step 2: Convert to fraction form
    27,184.24/40,781.86 = 9,655.44/x
  3. Step 3: Cross multiply
    27,184.24x = 40,781.86 × 9,655.44
  4. Step 4: Simplify right side
    27,184.24x = 393,766,802.32
  5. Step 5: Solve for x
    x = 393,766,802.32/27,184.24
  6. Step 6: Final answer
    x = 14,485.11

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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.