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Finding the Fourth Proportional to 21,422.70, 32,124.45 and 8,270.70

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Solution

The fourth proportional to 21,422.70, 32,124.45 and 8,270.70 is: 12,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.70 : 32,124.45 = 8,270.70 : x
  2. Step 2: Convert to fraction form
    21,422.70/32,124.45 = 8,270.70/x
  3. Step 3: Cross multiply
    21,422.70x = 32,124.45 × 8,270.70
  4. Step 4: Simplify right side
    21,422.70x = 265,691,688.62
  5. Step 5: Solve for x
    x = 265,691,688.62/21,422.70
  6. Step 6: Final answer
    x = 12,402.34

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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.