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Finding the Fourth Proportional to 24,119, 33,287.10 and 13,511.24

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Solution

The fourth proportional to 24,119, 33,287.10 and 13,511.24 is: 18,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,119 : 33,287.10 = 13,511.24 : x
  2. Step 2: Convert to fraction form
    24,119/33,287.10 = 13,511.24/x
  3. Step 3: Cross multiply
    24,119x = 33,287.10 × 13,511.24
  4. Step 4: Simplify right side
    24,119x = 449,749,997.00
  5. Step 5: Solve for x
    x = 449,749,997.00/24,119
  6. Step 6: Final answer
    x = 18,647.12

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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.