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Finding the Fourth Proportional to 16,133.88, 22,264.47 and 8,963.83

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Solution

The fourth proportional to 16,133.88, 22,264.47 and 8,963.83 is: 12,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.88 : 22,264.47 = 8,963.83 : x
  2. Step 2: Convert to fraction form
    16,133.88/22,264.47 = 8,963.83/x
  3. Step 3: Cross multiply
    16,133.88x = 22,264.47 × 8,963.83
  4. Step 4: Simplify right side
    16,133.88x = 199,574,951.95
  5. Step 5: Solve for x
    x = 199,574,951.95/16,133.88
  6. Step 6: Final answer
    x = 12,369.93

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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.