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Finding the Fourth Proportional to 24,823.37, 37,241.24 and 7,293.20

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Solution

The fourth proportional to 24,823.37, 37,241.24 and 7,293.20 is: 10,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.37 : 37,241.24 = 7,293.20 : x
  2. Step 2: Convert to fraction form
    24,823.37/37,241.24 = 7,293.20/x
  3. Step 3: Cross multiply
    24,823.37x = 37,241.24 × 7,293.20
  4. Step 4: Simplify right side
    24,823.37x = 271,607,588.90
  5. Step 5: Solve for x
    x = 271,607,588.90/24,823.37
  6. Step 6: Final answer
    x = 10,941.61

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1.5x scale

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.