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Finding the Fourth Proportional to 17,036.43, 23,510.00 and 9,584.43

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Solution

The fourth proportional to 17,036.43, 23,510.00 and 9,584.43 is: 13,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,036.43 : 23,510.00 = 9,584.43 : x
  2. Step 2: Convert to fraction form
    17,036.43/23,510.00 = 9,584.43/x
  3. Step 3: Cross multiply
    17,036.43x = 23,510.00 × 9,584.43
  4. Step 4: Simplify right side
    17,036.43x = 225,329,901.38
  5. Step 5: Solve for x
    x = 225,329,901.38/17,036.43
  6. Step 6: Final answer
    x = 13,226.36

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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.