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Finding the Fourth Proportional to 11,610.42, 17,386.16 and 9,731.37

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Solution

The fourth proportional to 11,610.42, 17,386.16 and 9,731.37 is: 14,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.42 : 17,386.16 = 9,731.37 : x
  2. Step 2: Convert to fraction form
    11,610.42/17,386.16 = 9,731.37/x
  3. Step 3: Cross multiply
    11,610.42x = 17,386.16 × 9,731.37
  4. Step 4: Simplify right side
    11,610.42x = 169,191,172.38
  5. Step 5: Solve for x
    x = 169,191,172.38/11,610.42
  6. Step 6: Final answer
    x = 14,572.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.