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Finding the Fourth Proportional to 24,846.21, 37,261.42 and 8,203.14

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Solution

The fourth proportional to 24,846.21, 37,261.42 and 8,203.14 is: 12,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.21 : 37,261.42 = 8,203.14 : x
  2. Step 2: Convert to fraction form
    24,846.21/37,261.42 = 8,203.14/x
  3. Step 3: Cross multiply
    24,846.21x = 37,261.42 × 8,203.14
  4. Step 4: Simplify right side
    24,846.21x = 305,660,624.35
  5. Step 5: Solve for x
    x = 305,660,624.35/24,846.21
  6. Step 6: Final answer
    x = 12,302.10

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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.