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Finding the Fourth Proportional to 17,967.10, 24,793.90 and 10,009.14

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Solution

The fourth proportional to 17,967.10, 24,793.90 and 10,009.14 is: 13,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.10 : 24,793.90 = 10,009.14 : x
  2. Step 2: Convert to fraction form
    17,967.10/24,793.90 = 10,009.14/x
  3. Step 3: Cross multiply
    17,967.10x = 24,793.90 × 10,009.14
  4. Step 4: Simplify right side
    17,967.10x = 248,165,616.25
  5. Step 5: Solve for x
    x = 248,165,616.25/17,967.10
  6. Step 6: Final answer
    x = 13,812.22

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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.