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Finding the Fourth Proportional to 15,997.40, 23,996.10 and 9,655.10

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Solution

The fourth proportional to 15,997.40, 23,996.10 and 9,655.10 is: 14,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.40 : 23,996.10 = 9,655.10 : x
  2. Step 2: Convert to fraction form
    15,997.40/23,996.10 = 9,655.10/x
  3. Step 3: Cross multiply
    15,997.40x = 23,996.10 × 9,655.10
  4. Step 4: Simplify right side
    15,997.40x = 231,684,745.11
  5. Step 5: Solve for x
    x = 231,684,745.11/15,997.40
  6. Step 6: Final answer
    x = 14,482.65

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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.