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Finding the Fourth Proportional to 18,024, 24,872.86 and 10,066.34

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Solution

The fourth proportional to 18,024, 24,872.86 and 10,066.34 is: 13,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024 : 24,872.86 = 10,066.34 : x
  2. Step 2: Convert to fraction form
    18,024/24,872.86 = 10,066.34/x
  3. Step 3: Cross multiply
    18,024x = 24,872.86 × 10,066.34
  4. Step 4: Simplify right side
    18,024x = 250,378,665.53
  5. Step 5: Solve for x
    x = 250,378,665.53/18,024
  6. Step 6: Final answer
    x = 13,891.40

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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.