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Finding the Fourth Proportional to 11,822.51, 16,316.22 and 8,833.16

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Solution

The fourth proportional to 11,822.51, 16,316.22 and 8,833.16 is: 12,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.51 : 16,316.22 = 8,833.16 : x
  2. Step 2: Convert to fraction form
    11,822.51/16,316.22 = 8,833.16/x
  3. Step 3: Cross multiply
    11,822.51x = 16,316.22 × 8,833.16
  4. Step 4: Simplify right side
    11,822.51x = 144,123,656.11
  5. Step 5: Solve for x
    x = 144,123,656.11/11,822.51
  6. Step 6: Final answer
    x = 12,190.61

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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.