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Finding the Fourth Proportional to 24,527.34, 33,849.63 and 13,917.42

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Solution

The fourth proportional to 24,527.34, 33,849.63 and 13,917.42 is: 19,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527.34 : 33,849.63 = 13,917.42 : x
  2. Step 2: Convert to fraction form
    24,527.34/33,849.63 = 13,917.42/x
  3. Step 3: Cross multiply
    24,527.34x = 33,849.63 × 13,917.42
  4. Step 4: Simplify right side
    24,527.34x = 471,099,517.55
  5. Step 5: Solve for x
    x = 471,099,517.55/24,527.34
  6. Step 6: Final answer
    x = 19,207.12

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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.