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Finding the Fourth Proportional to 20,252.88, 30,376.24 and 7,778.79

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Solution

The fourth proportional to 20,252.88, 30,376.24 and 7,778.79 is: 11,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.88 : 30,376.24 = 7,778.79 : x
  2. Step 2: Convert to fraction form
    20,252.88/30,376.24 = 7,778.79/x
  3. Step 3: Cross multiply
    20,252.88x = 30,376.24 × 7,778.79
  4. Step 4: Simplify right side
    20,252.88x = 236,290,372.50
  5. Step 5: Solve for x
    x = 236,290,372.50/20,252.88
  6. Step 6: Final answer
    x = 11,667.00

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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.