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Finding the Fourth Proportional to 15,207.84, 22,801.92 and 9,997.92

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Solution

The fourth proportional to 15,207.84, 22,801.92 and 9,997.92 is: 14,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.84 : 22,801.92 = 9,997.92 : x
  2. Step 2: Convert to fraction form
    15,207.84/22,801.92 = 9,997.92/x
  3. Step 3: Cross multiply
    15,207.84x = 22,801.92 × 9,997.92
  4. Step 4: Simplify right side
    15,207.84x = 227,971,772.01
  5. Step 5: Solve for x
    x = 227,971,772.01/15,207.84
  6. Step 6: Final answer
    x = 14,990.41

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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.