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Finding the Fourth Proportional to 24,548.56, 36,811.90 and 8,955.25

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Solution

The fourth proportional to 24,548.56, 36,811.90 and 8,955.25 is: 13,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548.56 : 36,811.90 = 8,955.25 : x
  2. Step 2: Convert to fraction form
    24,548.56/36,811.90 = 8,955.25/x
  3. Step 3: Cross multiply
    24,548.56x = 36,811.90 × 8,955.25
  4. Step 4: Simplify right side
    24,548.56x = 329,659,767.48
  5. Step 5: Solve for x
    x = 329,659,767.48/24,548.56
  6. Step 6: Final answer
    x = 13,428.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.