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Finding the Fourth Proportional to 17,902.14, 24,704.91 and 9,944.34

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Solution

The fourth proportional to 17,902.14, 24,704.91 and 9,944.34 is: 13,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.14 : 24,704.91 = 9,944.34 : x
  2. Step 2: Convert to fraction form
    17,902.14/24,704.91 = 9,944.34/x
  3. Step 3: Cross multiply
    17,902.14x = 24,704.91 × 9,944.34
  4. Step 4: Simplify right side
    17,902.14x = 245,674,024.71
  5. Step 5: Solve for x
    x = 245,674,024.71/17,902.14
  6. Step 6: Final answer
    x = 13,723.17

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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.