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Finding the Fourth Proportional to 15,181.84, 22,773.84 and 4,793.50

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Solution

The fourth proportional to 15,181.84, 22,773.84 and 4,793.50 is: 7,190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,181.84 : 22,773.84 = 4,793.50 : x
  2. Step 2: Convert to fraction form
    15,181.84/22,773.84 = 4,793.50/x
  3. Step 3: Cross multiply
    15,181.84x = 22,773.84 × 4,793.50
  4. Step 4: Simplify right side
    15,181.84x = 109,166,402.04
  5. Step 5: Solve for x
    x = 109,166,402.04/15,181.84
  6. Step 6: Final answer
    x = 7,190.59

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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.