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Finding the Fourth Proportional to 14,801, 20,425.38 and 8,177

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Solution

The fourth proportional to 14,801, 20,425.38 and 8,177 is: 11,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801 : 20,425.38 = 8,177 : x
  2. Step 2: Convert to fraction form
    14,801/20,425.38 = 8,177/x
  3. Step 3: Cross multiply
    14,801x = 20,425.38 × 8,177
  4. Step 4: Simplify right side
    14,801x = 167,018,332.26
  5. Step 5: Solve for x
    x = 167,018,332.26/14,801
  6. Step 6: Final answer
    x = 11,284.26

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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.