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Finding the Fourth Proportional to 16,822.54, 23,215.17 and 9,753.13

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Solution

The fourth proportional to 16,822.54, 23,215.17 and 9,753.13 is: 13,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.54 : 23,215.17 = 9,753.13 : x
  2. Step 2: Convert to fraction form
    16,822.54/23,215.17 = 9,753.13/x
  3. Step 3: Cross multiply
    16,822.54x = 23,215.17 × 9,753.13
  4. Step 4: Simplify right side
    16,822.54x = 226,420,570.98
  5. Step 5: Solve for x
    x = 226,420,570.98/16,822.54
  6. Step 6: Final answer
    x = 13,459.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.