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Finding the Fourth Proportional to 27,047.84, 40,572.04 and 9,517.84

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Solution

The fourth proportional to 27,047.84, 40,572.04 and 9,517.84 is: 14,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.84 : 40,572.04 = 9,517.84 : x
  2. Step 2: Convert to fraction form
    27,047.84/40,572.04 = 9,517.84/x
  3. Step 3: Cross multiply
    27,047.84x = 40,572.04 × 9,517.84
  4. Step 4: Simplify right side
    27,047.84x = 386,158,185.19
  5. Step 5: Solve for x
    x = 386,158,185.19/27,047.84
  6. Step 6: Final answer
    x = 14,276.86

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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.