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Finding the Fourth Proportional to 17,175, 23,701.50 and 9,723

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Solution

The fourth proportional to 17,175, 23,701.50 and 9,723 is: 13,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175 : 23,701.50 = 9,723 : x
  2. Step 2: Convert to fraction form
    17,175/23,701.50 = 9,723/x
  3. Step 3: Cross multiply
    17,175x = 23,701.50 × 9,723
  4. Step 4: Simplify right side
    17,175x = 230,449,684.50
  5. Step 5: Solve for x
    x = 230,449,684.50/17,175
  6. Step 6: Final answer
    x = 13,417.74

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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.