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Finding the Fourth Proportional to 15,905.54, 23,843.72 and 5,510

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Solution

The fourth proportional to 15,905.54, 23,843.72 and 5,510 is: 8,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.54 : 23,843.72 = 5,510 : x
  2. Step 2: Convert to fraction form
    15,905.54/23,843.72 = 5,510/x
  3. Step 3: Cross multiply
    15,905.54x = 23,843.72 × 5,510
  4. Step 4: Simplify right side
    15,905.54x = 131,378,897.20
  5. Step 5: Solve for x
    x = 131,378,897.20/15,905.54
  6. Step 6: Final answer
    x = 8,259.95

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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.