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Finding the Fourth Proportional to 16,836.98, 23,240.13 and 9,765.14

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Solution

The fourth proportional to 16,836.98, 23,240.13 and 9,765.14 is: 13,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,836.98 : 23,240.13 = 9,765.14 : x
  2. Step 2: Convert to fraction form
    16,836.98/23,240.13 = 9,765.14/x
  3. Step 3: Cross multiply
    16,836.98x = 23,240.13 × 9,765.14
  4. Step 4: Simplify right side
    16,836.98x = 226,943,123.07
  5. Step 5: Solve for x
    x = 226,943,123.07/16,836.98
  6. Step 6: Final answer
    x = 13,478.85

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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.