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Finding the Fourth Proportional to 17,625.75, 24,323.09 and 10,071.60

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Solution

The fourth proportional to 17,625.75, 24,323.09 and 10,071.60 is: 13,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.75 : 24,323.09 = 10,071.60 : x
  2. Step 2: Convert to fraction form
    17,625.75/24,323.09 = 10,071.60/x
  3. Step 3: Cross multiply
    17,625.75x = 24,323.09 × 10,071.60
  4. Step 4: Simplify right side
    17,625.75x = 244,972,311.63
  5. Step 5: Solve for x
    x = 244,972,311.63/17,625.75
  6. Step 6: Final answer
    x = 13,898.55

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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.