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Finding the Fourth Proportional to 16,746.64, 25,102.10 and 7,963

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Solution

The fourth proportional to 16,746.64, 25,102.10 and 7,963 is: 11,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746.64 : 25,102.10 = 7,963 : x
  2. Step 2: Convert to fraction form
    16,746.64/25,102.10 = 7,963/x
  3. Step 3: Cross multiply
    16,746.64x = 25,102.10 × 7,963
  4. Step 4: Simplify right side
    16,746.64x = 199,888,022.30
  5. Step 5: Solve for x
    x = 199,888,022.30/16,746.64
  6. Step 6: Final answer
    x = 11,936.01

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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.