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Finding the Fourth Proportional to 16,415, 22,652.88 and 8,963

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Solution

The fourth proportional to 16,415, 22,652.88 and 8,963 is: 12,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415 : 22,652.88 = 8,963 : x
  2. Step 2: Convert to fraction form
    16,415/22,652.88 = 8,963/x
  3. Step 3: Cross multiply
    16,415x = 22,652.88 × 8,963
  4. Step 4: Simplify right side
    16,415x = 203,037,763.44
  5. Step 5: Solve for x
    x = 203,037,763.44/16,415
  6. Step 6: Final answer
    x = 12,369.04

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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.