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Finding the Fourth Proportional to 16,822.95, 23,218.40 and 9,753.46

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Solution

The fourth proportional to 16,822.95, 23,218.40 and 9,753.46 is: 13,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.95 : 23,218.40 = 9,753.46 : x
  2. Step 2: Convert to fraction form
    16,822.95/23,218.40 = 9,753.46/x
  3. Step 3: Cross multiply
    16,822.95x = 23,218.40 × 9,753.46
  4. Step 4: Simplify right side
    16,822.95x = 226,459,735.66
  5. Step 5: Solve for x
    x = 226,459,735.66/16,822.95
  6. Step 6: Final answer
    x = 13,461.36

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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.