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Finding the Fourth Proportional to 24,511.68, 33,827.81 and 13,902.01

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Solution

The fourth proportional to 24,511.68, 33,827.81 and 13,902.01 is: 19,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.68 : 33,827.81 = 13,902.01 : x
  2. Step 2: Convert to fraction form
    24,511.68/33,827.81 = 13,902.01/x
  3. Step 3: Cross multiply
    24,511.68x = 33,827.81 × 13,902.01
  4. Step 4: Simplify right side
    24,511.68x = 470,274,398.82
  5. Step 5: Solve for x
    x = 470,274,398.82/24,511.68
  6. Step 6: Final answer
    x = 19,185.73

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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.