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Finding the Fourth Proportional to 15,753.96, 21,739.68 and 10,164.96

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Solution

The fourth proportional to 15,753.96, 21,739.68 and 10,164.96 is: 14,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753.96 : 21,739.68 = 10,164.96 : x
  2. Step 2: Convert to fraction form
    15,753.96/21,739.68 = 10,164.96/x
  3. Step 3: Cross multiply
    15,753.96x = 21,739.68 × 10,164.96
  4. Step 4: Simplify right side
    15,753.96x = 220,982,977.61
  5. Step 5: Solve for x
    x = 220,982,977.61/15,753.96
  6. Step 6: Final answer
    x = 14,027.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.