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Finding the Fourth Proportional to 13,925.46, 20,906 and 11,963.64

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Solution

The fourth proportional to 13,925.46, 20,906 and 11,963.64 is: 17,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.46 : 20,906 = 11,963.64 : x
  2. Step 2: Convert to fraction form
    13,925.46/20,906 = 11,963.64/x
  3. Step 3: Cross multiply
    13,925.46x = 20,906 × 11,963.64
  4. Step 4: Simplify right side
    13,925.46x = 250,111,857.84
  5. Step 5: Solve for x
    x = 250,111,857.84/13,925.46
  6. Step 6: Final answer
    x = 17,960.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.