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Finding the Fourth Proportional to 17,134.98, 23,643.87 and 9,580.38

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Solution

The fourth proportional to 17,134.98, 23,643.87 and 9,580.38 is: 13,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.98 : 23,643.87 = 9,580.38 : x
  2. Step 2: Convert to fraction form
    17,134.98/23,643.87 = 9,580.38/x
  3. Step 3: Cross multiply
    17,134.98x = 23,643.87 × 9,580.38
  4. Step 4: Simplify right side
    17,134.98x = 226,517,259.27
  5. Step 5: Solve for x
    x = 226,517,259.27/17,134.98
  6. Step 6: Final answer
    x = 13,219.58

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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.