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Finding the Fourth Proportional to 23,656.98, 35,493.84 and 10,508.16

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Solution

The fourth proportional to 23,656.98, 35,493.84 and 10,508.16 is: 15,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.98 : 35,493.84 = 10,508.16 : x
  2. Step 2: Convert to fraction form
    23,656.98/35,493.84 = 10,508.16/x
  3. Step 3: Cross multiply
    23,656.98x = 35,493.84 × 10,508.16
  4. Step 4: Simplify right side
    23,656.98x = 372,974,949.73
  5. Step 5: Solve for x
    x = 372,974,949.73/23,656.98
  6. Step 6: Final answer
    x = 15,765.96

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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.