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Finding the Fourth Proportional to 12,131.78, 16,742.30 and 6,827.09

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Solution

The fourth proportional to 12,131.78, 16,742.30 and 6,827.09 is: 9,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.78 : 16,742.30 = 6,827.09 : x
  2. Step 2: Convert to fraction form
    12,131.78/16,742.30 = 6,827.09/x
  3. Step 3: Cross multiply
    12,131.78x = 16,742.30 × 6,827.09
  4. Step 4: Simplify right side
    12,131.78x = 114,301,071.06
  5. Step 5: Solve for x
    x = 114,301,071.06/12,131.78
  6. Step 6: Final answer
    x = 9,421.63

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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.