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Finding the Fourth Proportional to 17,037.94, 23,515.62 and 9,585.94

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Solution

The fourth proportional to 17,037.94, 23,515.62 and 9,585.94 is: 13,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,037.94 : 23,515.62 = 9,585.94 : x
  2. Step 2: Convert to fraction form
    17,037.94/23,515.62 = 9,585.94/x
  3. Step 3: Cross multiply
    17,037.94x = 23,515.62 × 9,585.94
  4. Step 4: Simplify right side
    17,037.94x = 225,419,322.38
  5. Step 5: Solve for x
    x = 225,419,322.38/17,037.94
  6. Step 6: Final answer
    x = 13,230.43

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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.