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Finding the Fourth Proportional to 12,016.34, 16,462.11 and 11,567.11

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Solution

The fourth proportional to 12,016.34, 16,462.11 and 11,567.11 is: 15,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.34 : 16,462.11 = 11,567.11 : x
  2. Step 2: Convert to fraction form
    12,016.34/16,462.11 = 11,567.11/x
  3. Step 3: Cross multiply
    12,016.34x = 16,462.11 × 11,567.11
  4. Step 4: Simplify right side
    12,016.34x = 190,418,897.06
  5. Step 5: Solve for x
    x = 190,418,897.06/12,016.34
  6. Step 6: Final answer
    x = 15,846.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.