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Finding the Fourth Proportional to 24,822.60, 37,234.50 and 7,293

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Solution

The fourth proportional to 24,822.60, 37,234.50 and 7,293 is: 10,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.60 : 37,234.50 = 7,293 : x
  2. Step 2: Convert to fraction form
    24,822.60/37,234.50 = 7,293/x
  3. Step 3: Cross multiply
    24,822.60x = 37,234.50 × 7,293
  4. Step 4: Simplify right side
    24,822.60x = 271,551,208.50
  5. Step 5: Solve for x
    x = 271,551,208.50/24,822.60
  6. Step 6: Final answer
    x = 10,939.68

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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.