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Finding the Fourth Proportional to 11,447.34, 17,016.64 and 11,111.02

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Solution

The fourth proportional to 11,447.34, 17,016.64 and 11,111.02 is: 16,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.34 : 17,016.64 = 11,111.02 : x
  2. Step 2: Convert to fraction form
    11,447.34/17,016.64 = 11,111.02/x
  3. Step 3: Cross multiply
    11,447.34x = 17,016.64 × 11,111.02
  4. Step 4: Simplify right side
    11,447.34x = 189,072,227.37
  5. Step 5: Solve for x
    x = 189,072,227.37/11,447.34
  6. Step 6: Final answer
    x = 16,516.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.