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Finding the Fourth Proportional to 15,196.82, 22,787.93 and 7,184.92

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Solution

The fourth proportional to 15,196.82, 22,787.93 and 7,184.92 is: 10,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.82 : 22,787.93 = 7,184.92 : x
  2. Step 2: Convert to fraction form
    15,196.82/22,787.93 = 7,184.92/x
  3. Step 3: Cross multiply
    15,196.82x = 22,787.93 × 7,184.92
  4. Step 4: Simplify right side
    15,196.82x = 163,729,340.08
  5. Step 5: Solve for x
    x = 163,729,340.08/15,196.82
  6. Step 6: Final answer
    x = 10,773.92

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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.