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Finding the Fourth Proportional to 24,011.16, 35,992.11 and 9,216.09

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Solution

The fourth proportional to 24,011.16, 35,992.11 and 9,216.09 is: 13,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,011.16 : 35,992.11 = 9,216.09 : x
  2. Step 2: Convert to fraction form
    24,011.16/35,992.11 = 9,216.09/x
  3. Step 3: Cross multiply
    24,011.16x = 35,992.11 × 9,216.09
  4. Step 4: Simplify right side
    24,011.16x = 331,706,525.05
  5. Step 5: Solve for x
    x = 331,706,525.05/24,011.16
  6. Step 6: Final answer
    x = 13,814.68

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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.