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Finding the Fourth Proportional to 24,704.40, 37,031.40 and 12,205.20

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Solution

The fourth proportional to 24,704.40, 37,031.40 and 12,205.20 is: 18,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.40 : 37,031.40 = 12,205.20 : x
  2. Step 2: Convert to fraction form
    24,704.40/37,031.40 = 12,205.20/x
  3. Step 3: Cross multiply
    24,704.40x = 37,031.40 × 12,205.20
  4. Step 4: Simplify right side
    24,704.40x = 451,975,643.28
  5. Step 5: Solve for x
    x = 451,975,643.28/24,704.40
  6. Step 6: Final answer
    x = 18,295.35

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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.