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Finding the Fourth Proportional to 12,133.23, 16,741.94 and 6,827.01

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Solution

The fourth proportional to 12,133.23, 16,741.94 and 6,827.01 is: 9,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.23 : 16,741.94 = 6,827.01 : x
  2. Step 2: Convert to fraction form
    12,133.23/16,741.94 = 6,827.01/x
  3. Step 3: Cross multiply
    12,133.23x = 16,741.94 × 6,827.01
  4. Step 4: Simplify right side
    12,133.23x = 114,297,357.66
  5. Step 5: Solve for x
    x = 114,297,357.66/12,133.23
  6. Step 6: Final answer
    x = 9,420.19

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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.