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Finding the Fourth Proportional to 22,337.63, 30,823.63 and 13,384.90

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Solution

The fourth proportional to 22,337.63, 30,823.63 and 13,384.90 is: 18,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337.63 : 30,823.63 = 13,384.90 : x
  2. Step 2: Convert to fraction form
    22,337.63/30,823.63 = 13,384.90/x
  3. Step 3: Cross multiply
    22,337.63x = 30,823.63 × 13,384.90
  4. Step 4: Simplify right side
    22,337.63x = 412,571,205.19
  5. Step 5: Solve for x
    x = 412,571,205.19/22,337.63
  6. Step 6: Final answer
    x = 18,469.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.