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Finding the Fourth Proportional to 17,291.40, 23,860.14 and 9,737.54

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Solution

The fourth proportional to 17,291.40, 23,860.14 and 9,737.54 is: 13,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.40 : 23,860.14 = 9,737.54 : x
  2. Step 2: Convert to fraction form
    17,291.40/23,860.14 = 9,737.54/x
  3. Step 3: Cross multiply
    17,291.40x = 23,860.14 × 9,737.54
  4. Step 4: Simplify right side
    17,291.40x = 232,339,067.66
  5. Step 5: Solve for x
    x = 232,339,067.66/17,291.40
  6. Step 6: Final answer
    x = 13,436.68

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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.