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Finding the Fourth Proportional to 17,137.74, 23,649.39 and 9,583.95

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Solution

The fourth proportional to 17,137.74, 23,649.39 and 9,583.95 is: 13,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137.74 : 23,649.39 = 9,583.95 : x
  2. Step 2: Convert to fraction form
    17,137.74/23,649.39 = 9,583.95/x
  3. Step 3: Cross multiply
    17,137.74x = 23,649.39 × 9,583.95
  4. Step 4: Simplify right side
    17,137.74x = 226,654,571.29
  5. Step 5: Solve for x
    x = 226,654,571.29/17,137.74
  6. Step 6: Final answer
    x = 13,225.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.