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Finding the Fourth Proportional to 18,320.76, 27,482.76 and 9,997.20

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Solution

The fourth proportional to 18,320.76, 27,482.76 and 9,997.20 is: 14,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,320.76 : 27,482.76 = 9,997.20 : x
  2. Step 2: Convert to fraction form
    18,320.76/27,482.76 = 9,997.20/x
  3. Step 3: Cross multiply
    18,320.76x = 27,482.76 × 9,997.20
  4. Step 4: Simplify right side
    18,320.76x = 274,750,648.27
  5. Step 5: Solve for x
    x = 274,750,648.27/18,320.76
  6. Step 6: Final answer
    x = 14,996.68

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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.