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Finding the Fourth Proportional to 27,284.35, 40,932.06 and 9,753.75

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Solution

The fourth proportional to 27,284.35, 40,932.06 and 9,753.75 is: 14,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.35 : 40,932.06 = 9,753.75 : x
  2. Step 2: Convert to fraction form
    27,284.35/40,932.06 = 9,753.75/x
  3. Step 3: Cross multiply
    27,284.35x = 40,932.06 × 9,753.75
  4. Step 4: Simplify right side
    27,284.35x = 399,241,080.23
  5. Step 5: Solve for x
    x = 399,241,080.23/27,284.35
  6. Step 6: Final answer
    x = 14,632.60

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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.