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Finding the Fourth Proportional to 27,530.48, 41,284.98 and 9,754.31

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Solution

The fourth proportional to 27,530.48, 41,284.98 and 9,754.31 is: 14,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,530.48 : 41,284.98 = 9,754.31 : x
  2. Step 2: Convert to fraction form
    27,530.48/41,284.98 = 9,754.31/x
  3. Step 3: Cross multiply
    27,530.48x = 41,284.98 × 9,754.31
  4. Step 4: Simplify right side
    27,530.48x = 402,706,286.84
  5. Step 5: Solve for x
    x = 402,706,286.84/27,530.48
  6. Step 6: Final answer
    x = 14,627.65

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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.