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Finding the Fourth Proportional to 13,661.64, 20,450.52 and 9,963

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Solution

The fourth proportional to 13,661.64, 20,450.52 and 9,963 is: 14,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.64 : 20,450.52 = 9,963 : x
  2. Step 2: Convert to fraction form
    13,661.64/20,450.52 = 9,963/x
  3. Step 3: Cross multiply
    13,661.64x = 20,450.52 × 9,963
  4. Step 4: Simplify right side
    13,661.64x = 203,748,530.76
  5. Step 5: Solve for x
    x = 203,748,530.76/13,661.64
  6. Step 6: Final answer
    x = 14,913.91

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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.