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Finding the Fourth Proportional to 12,133.11, 16,743.51 and 6,827.91

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Solution

The fourth proportional to 12,133.11, 16,743.51 and 6,827.91 is: 9,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.11 : 16,743.51 = 6,827.91 : x
  2. Step 2: Convert to fraction form
    12,133.11/16,743.51 = 6,827.91/x
  3. Step 3: Cross multiply
    12,133.11x = 16,743.51 × 6,827.91
  4. Step 4: Simplify right side
    12,133.11x = 114,323,179.36
  5. Step 5: Solve for x
    x = 114,323,179.36/12,133.11
  6. Step 6: Final answer
    x = 9,422.41

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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.