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Finding the Fourth Proportional to 15,221.70, 22,832.23 and 7,013.70

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Solution

The fourth proportional to 15,221.70, 22,832.23 and 7,013.70 is: 10,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.70 : 22,832.23 = 7,013.70 : x
  2. Step 2: Convert to fraction form
    15,221.70/22,832.23 = 7,013.70/x
  3. Step 3: Cross multiply
    15,221.70x = 22,832.23 × 7,013.70
  4. Step 4: Simplify right side
    15,221.70x = 160,138,411.55
  5. Step 5: Solve for x
    x = 160,138,411.55/15,221.70
  6. Step 6: Final answer
    x = 10,520.40

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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.