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Finding the Fourth Proportional to 17,038.38, 23,507.55 and 9,584.94

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Solution

The fourth proportional to 17,038.38, 23,507.55 and 9,584.94 is: 13,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.38 : 23,507.55 = 9,584.94 : x
  2. Step 2: Convert to fraction form
    17,038.38/23,507.55 = 9,584.94/x
  3. Step 3: Cross multiply
    17,038.38x = 23,507.55 × 9,584.94
  4. Step 4: Simplify right side
    17,038.38x = 225,318,456.30
  5. Step 5: Solve for x
    x = 225,318,456.30/17,038.38
  6. Step 6: Final answer
    x = 13,224.17

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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.