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Finding the Fourth Proportional to 17,052, 23,531.76 and 9,975.84

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Solution

The fourth proportional to 17,052, 23,531.76 and 9,975.84 is: 13,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,052 : 23,531.76 = 9,975.84 : x
  2. Step 2: Convert to fraction form
    17,052/23,531.76 = 9,975.84/x
  3. Step 3: Cross multiply
    17,052x = 23,531.76 × 9,975.84
  4. Step 4: Simplify right side
    17,052x = 234,749,072.68
  5. Step 5: Solve for x
    x = 234,749,072.68/17,052
  6. Step 6: Final answer
    x = 13,766.66

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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.