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Finding the Fourth Proportional to 15,838.54, 23,776.20 and 9,269.44

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Solution

The fourth proportional to 15,838.54, 23,776.20 and 9,269.44 is: 13,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.54 : 23,776.20 = 9,269.44 : x
  2. Step 2: Convert to fraction form
    15,838.54/23,776.20 = 9,269.44/x
  3. Step 3: Cross multiply
    15,838.54x = 23,776.20 × 9,269.44
  4. Step 4: Simplify right side
    15,838.54x = 220,392,059.33
  5. Step 5: Solve for x
    x = 220,392,059.33/15,838.54
  6. Step 6: Final answer
    x = 13,914.92

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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.