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Finding the Fourth Proportional to 15,827.49, 23,722.86 and 5,960.49

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Solution

The fourth proportional to 15,827.49, 23,722.86 and 5,960.49 is: 8,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.49 : 23,722.86 = 5,960.49 : x
  2. Step 2: Convert to fraction form
    15,827.49/23,722.86 = 5,960.49/x
  3. Step 3: Cross multiply
    15,827.49x = 23,722.86 × 5,960.49
  4. Step 4: Simplify right side
    15,827.49x = 141,399,869.80
  5. Step 5: Solve for x
    x = 141,399,869.80/15,827.49
  6. Step 6: Final answer
    x = 8,933.82

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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.