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Finding the Fourth Proportional to 13,713, 18,923.88 and 7,425.32

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Solution

The fourth proportional to 13,713, 18,923.88 and 7,425.32 is: 10,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713 : 18,923.88 = 7,425.32 : x
  2. Step 2: Convert to fraction form
    13,713/18,923.88 = 7,425.32/x
  3. Step 3: Cross multiply
    13,713x = 18,923.88 × 7,425.32
  4. Step 4: Simplify right side
    13,713x = 140,515,864.64
  5. Step 5: Solve for x
    x = 140,515,864.64/13,713
  6. Step 6: Final answer
    x = 10,246.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.