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Finding the Fourth Proportional to 15,754.36, 23,616.95 and 8,824

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Solution

The fourth proportional to 15,754.36, 23,616.95 and 8,824 is: 13,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.36 : 23,616.95 = 8,824 : x
  2. Step 2: Convert to fraction form
    15,754.36/23,616.95 = 8,824/x
  3. Step 3: Cross multiply
    15,754.36x = 23,616.95 × 8,824
  4. Step 4: Simplify right side
    15,754.36x = 208,395,966.80
  5. Step 5: Solve for x
    x = 208,395,966.80/15,754.36
  6. Step 6: Final answer
    x = 13,227.83

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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.