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Finding the Fourth Proportional to 17,735.84, 24,476.28 and 9,778.16

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Solution

The fourth proportional to 17,735.84, 24,476.28 and 9,778.16 is: 13,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.84 : 24,476.28 = 9,778.16 : x
  2. Step 2: Convert to fraction form
    17,735.84/24,476.28 = 9,778.16/x
  3. Step 3: Cross multiply
    17,735.84x = 24,476.28 × 9,778.16
  4. Step 4: Simplify right side
    17,735.84x = 239,332,982.04
  5. Step 5: Solve for x
    x = 239,332,982.04/17,735.84
  6. Step 6: Final answer
    x = 13,494.31

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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.