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Finding the Fourth Proportional to 13,936, 19,240.56 and 8,976.64

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Solution

The fourth proportional to 13,936, 19,240.56 and 8,976.64 is: 12,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,936 : 19,240.56 = 8,976.64 : x
  2. Step 2: Convert to fraction form
    13,936/19,240.56 = 8,976.64/x
  3. Step 3: Cross multiply
    13,936x = 19,240.56 × 8,976.64
  4. Step 4: Simplify right side
    13,936x = 172,715,580.52
  5. Step 5: Solve for x
    x = 172,715,580.52/13,936
  6. Step 6: Final answer
    x = 12,393.48

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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.