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Finding the Fourth Proportional to 17,857.62, 24,646.14 and 9,901.80

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Solution

The fourth proportional to 17,857.62, 24,646.14 and 9,901.80 is: 13,665.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.62 : 24,646.14 = 9,901.80 : x
  2. Step 2: Convert to fraction form
    17,857.62/24,646.14 = 9,901.80/x
  3. Step 3: Cross multiply
    17,857.62x = 24,646.14 × 9,901.80
  4. Step 4: Simplify right side
    17,857.62x = 244,041,149.05
  5. Step 5: Solve for x
    x = 244,041,149.05/17,857.62
  6. Step 6: Final answer
    x = 13,665.94

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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.