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Finding the Fourth Proportional to 24,313.90, 36,469.84 and 7,685.88

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Solution

The fourth proportional to 24,313.90, 36,469.84 and 7,685.88 is: 11,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.90 : 36,469.84 = 7,685.88 : x
  2. Step 2: Convert to fraction form
    24,313.90/36,469.84 = 7,685.88/x
  3. Step 3: Cross multiply
    24,313.90x = 36,469.84 × 7,685.88
  4. Step 4: Simplify right side
    24,313.90x = 280,302,813.86
  5. Step 5: Solve for x
    x = 280,302,813.86/24,313.90
  6. Step 6: Final answer
    x = 11,528.50

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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.