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Finding the Fourth Proportional to 17,808, 24,574.64 and 9,850.29

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Solution

The fourth proportional to 17,808, 24,574.64 and 9,850.29 is: 13,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808 : 24,574.64 = 9,850.29 : x
  2. Step 2: Convert to fraction form
    17,808/24,574.64 = 9,850.29/x
  3. Step 3: Cross multiply
    17,808x = 24,574.64 × 9,850.29
  4. Step 4: Simplify right side
    17,808x = 242,067,281.39
  5. Step 5: Solve for x
    x = 242,067,281.39/17,808
  6. Step 6: Final answer
    x = 13,593.18

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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.