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Finding the Fourth Proportional to 17,035, 23,508.66 and 9,583

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Solution

The fourth proportional to 17,035, 23,508.66 and 9,583 is: 13,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035 : 23,508.66 = 9,583 : x
  2. Step 2: Convert to fraction form
    17,035/23,508.66 = 9,583/x
  3. Step 3: Cross multiply
    17,035x = 23,508.66 × 9,583
  4. Step 4: Simplify right side
    17,035x = 225,283,488.78
  5. Step 5: Solve for x
    x = 225,283,488.78/17,035
  6. Step 6: Final answer
    x = 13,224.74

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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.