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Finding the Fourth Proportional to 20,345.76, 30,522.24 and 7,205.76

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Solution

The fourth proportional to 20,345.76, 30,522.24 and 7,205.76 is: 10,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,345.76 : 30,522.24 = 7,205.76 : x
  2. Step 2: Convert to fraction form
    20,345.76/30,522.24 = 7,205.76/x
  3. Step 3: Cross multiply
    20,345.76x = 30,522.24 × 7,205.76
  4. Step 4: Simplify right side
    20,345.76x = 219,935,936.10
  5. Step 5: Solve for x
    x = 219,935,936.10/20,345.76
  6. Step 6: Final answer
    x = 10,809.91

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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.