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Finding the Fourth Proportional to 24,464.25, 33,760.79 and 13,709.14

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Solution

The fourth proportional to 24,464.25, 33,760.79 and 13,709.14 is: 18,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.25 : 33,760.79 = 13,709.14 : x
  2. Step 2: Convert to fraction form
    24,464.25/33,760.79 = 13,709.14/x
  3. Step 3: Cross multiply
    24,464.25x = 33,760.79 × 13,709.14
  4. Step 4: Simplify right side
    24,464.25x = 462,831,484.99
  5. Step 5: Solve for x
    x = 462,831,484.99/24,464.25
  6. Step 6: Final answer
    x = 18,918.69

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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.