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Finding the Fourth Proportional to 27,072.84, 40,611.60 and 9,542.82

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Solution

The fourth proportional to 27,072.84, 40,611.60 and 9,542.82 is: 14,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072.84 : 40,611.60 = 9,542.82 : x
  2. Step 2: Convert to fraction form
    27,072.84/40,611.60 = 9,542.82/x
  3. Step 3: Cross multiply
    27,072.84x = 40,611.60 × 9,542.82
  4. Step 4: Simplify right side
    27,072.84x = 387,549,188.71
  5. Step 5: Solve for x
    x = 387,549,188.71/27,072.84
  6. Step 6: Final answer
    x = 14,315.05

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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.