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Finding the Fourth Proportional to 17,869.14, 24,659.24 and 9,911.16

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Solution

The fourth proportional to 17,869.14, 24,659.24 and 9,911.16 is: 13,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.14 : 24,659.24 = 9,911.16 : x
  2. Step 2: Convert to fraction form
    17,869.14/24,659.24 = 9,911.16/x
  3. Step 3: Cross multiply
    17,869.14x = 24,659.24 × 9,911.16
  4. Step 4: Simplify right side
    17,869.14x = 244,401,623.56
  5. Step 5: Solve for x
    x = 244,401,623.56/17,869.14
  6. Step 6: Final answer
    x = 13,677.30

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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.