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Finding the Fourth Proportional to 22,687.74, 34,026.84 and 8,642.88

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Solution

The fourth proportional to 22,687.74, 34,026.84 and 8,642.88 is: 12,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687.74 : 34,026.84 = 8,642.88 : x
  2. Step 2: Convert to fraction form
    22,687.74/34,026.84 = 8,642.88/x
  3. Step 3: Cross multiply
    22,687.74x = 34,026.84 × 8,642.88
  4. Step 4: Simplify right side
    22,687.74x = 294,089,894.90
  5. Step 5: Solve for x
    x = 294,089,894.90/22,687.74
  6. Step 6: Final answer
    x = 12,962.50

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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.