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Finding the Fourth Proportional to 22,511.52, 33,730.38 and 7,712.46

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Solution

The fourth proportional to 22,511.52, 33,730.38 and 7,712.46 is: 11,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.52 : 33,730.38 = 7,712.46 : x
  2. Step 2: Convert to fraction form
    22,511.52/33,730.38 = 7,712.46/x
  3. Step 3: Cross multiply
    22,511.52x = 33,730.38 × 7,712.46
  4. Step 4: Simplify right side
    22,511.52x = 260,144,206.53
  5. Step 5: Solve for x
    x = 260,144,206.53/22,511.52
  6. Step 6: Final answer
    x = 11,556.05

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