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Finding the Fourth Proportional to 22,777.84, 34,167.30 and 8,744.86

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Solution

The fourth proportional to 22,777.84, 34,167.30 and 8,744.86 is: 13,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.84 : 34,167.30 = 8,744.86 : x
  2. Step 2: Convert to fraction form
    22,777.84/34,167.30 = 8,744.86/x
  3. Step 3: Cross multiply
    22,777.84x = 34,167.30 × 8,744.86
  4. Step 4: Simplify right side
    22,777.84x = 298,788,255.08
  5. Step 5: Solve for x
    x = 298,788,255.08/22,777.84
  6. Step 6: Final answer
    x = 13,117.50

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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.