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Finding the Fourth Proportional to 22,508.56, 33,766.56 and 6,926.24

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Solution

The fourth proportional to 22,508.56, 33,766.56 and 6,926.24 is: 10,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.56 : 33,766.56 = 6,926.24 : x
  2. Step 2: Convert to fraction form
    22,508.56/33,766.56 = 6,926.24/x
  3. Step 3: Cross multiply
    22,508.56x = 33,766.56 × 6,926.24
  4. Step 4: Simplify right side
    22,508.56x = 233,875,298.53
  5. Step 5: Solve for x
    x = 233,875,298.53/22,508.56
  6. Step 6: Final answer
    x = 10,390.50

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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.