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Finding the Fourth Proportional to 17,659, 24,372.66 and 10,207

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Solution

The fourth proportional to 17,659, 24,372.66 and 10,207 is: 14,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659 : 24,372.66 = 10,207 : x
  2. Step 2: Convert to fraction form
    17,659/24,372.66 = 10,207/x
  3. Step 3: Cross multiply
    17,659x = 24,372.66 × 10,207
  4. Step 4: Simplify right side
    17,659x = 248,771,740.62
  5. Step 5: Solve for x
    x = 248,771,740.62/17,659
  6. Step 6: Final answer
    x = 14,087.53

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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.