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Finding the Fourth Proportional to 24,428.82, 33,709.86 and 14,357.64

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Solution

The fourth proportional to 24,428.82, 33,709.86 and 14,357.64 is: 19,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.82 : 33,709.86 = 14,357.64 : x
  2. Step 2: Convert to fraction form
    24,428.82/33,709.86 = 14,357.64/x
  3. Step 3: Cross multiply
    24,428.82x = 33,709.86 × 14,357.64
  4. Step 4: Simplify right side
    24,428.82x = 483,994,034.33
  5. Step 5: Solve for x
    x = 483,994,034.33/24,428.82
  6. Step 6: Final answer
    x = 19,812.42

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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.