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Finding the Fourth Proportional to 17,304.69, 23,878.85 and 9,749.78

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Solution

The fourth proportional to 17,304.69, 23,878.85 and 9,749.78 is: 13,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,304.69 : 23,878.85 = 9,749.78 : x
  2. Step 2: Convert to fraction form
    17,304.69/23,878.85 = 9,749.78/x
  3. Step 3: Cross multiply
    17,304.69x = 23,878.85 × 9,749.78
  4. Step 4: Simplify right side
    17,304.69x = 232,813,414.76
  5. Step 5: Solve for x
    x = 232,813,414.76/17,304.69
  6. Step 6: Final answer
    x = 13,453.78

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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.