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Finding the Fourth Proportional to 24,516.84, 33,837 and 13,904.22

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Solution

The fourth proportional to 24,516.84, 33,837 and 13,904.22 is: 19,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.84 : 33,837 = 13,904.22 : x
  2. Step 2: Convert to fraction form
    24,516.84/33,837 = 13,904.22/x
  3. Step 3: Cross multiply
    24,516.84x = 33,837 × 13,904.22
  4. Step 4: Simplify right side
    24,516.84x = 470,477,092.14
  5. Step 5: Solve for x
    x = 470,477,092.14/24,516.84
  6. Step 6: Final answer
    x = 19,189.96

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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.