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Finding the Fourth Proportional to 24,793.72, 37,194.68 and 12,314.16

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Solution

The fourth proportional to 24,793.72, 37,194.68 and 12,314.16 is: 18,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793.72 : 37,194.68 = 12,314.16 : x
  2. Step 2: Convert to fraction form
    24,793.72/37,194.68 = 12,314.16/x
  3. Step 3: Cross multiply
    24,793.72x = 37,194.68 × 12,314.16
  4. Step 4: Simplify right side
    24,793.72x = 458,021,271.45
  5. Step 5: Solve for x
    x = 458,021,271.45/24,793.72
  6. Step 6: Final answer
    x = 18,473.28

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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.