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Finding the Fourth Proportional to 17,725.67, 24,461.94 and 9,768.41

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Solution

The fourth proportional to 17,725.67, 24,461.94 and 9,768.41 is: 13,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.67 : 24,461.94 = 9,768.41 : x
  2. Step 2: Convert to fraction form
    17,725.67/24,461.94 = 9,768.41/x
  3. Step 3: Cross multiply
    17,725.67x = 24,461.94 × 9,768.41
  4. Step 4: Simplify right side
    17,725.67x = 238,954,259.32
  5. Step 5: Solve for x
    x = 238,954,259.32/17,725.67
  6. Step 6: Final answer
    x = 13,480.69

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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.