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Finding the Fourth Proportional to 24,667.72, 34,040.76 and 13,489

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Solution

The fourth proportional to 24,667.72, 34,040.76 and 13,489 is: 18,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.72 : 34,040.76 = 13,489 : x
  2. Step 2: Convert to fraction form
    24,667.72/34,040.76 = 13,489/x
  3. Step 3: Cross multiply
    24,667.72x = 34,040.76 × 13,489
  4. Step 4: Simplify right side
    24,667.72x = 459,175,811.64
  5. Step 5: Solve for x
    x = 459,175,811.64/24,667.72
  6. Step 6: Final answer
    x = 18,614.44

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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.