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Finding the Fourth Proportional to 11,924.73, 16,459.03 and 7,147.50

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Solution

The fourth proportional to 11,924.73, 16,459.03 and 7,147.50 is: 9,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.73 : 16,459.03 = 7,147.50 : x
  2. Step 2: Convert to fraction form
    11,924.73/16,459.03 = 7,147.50/x
  3. Step 3: Cross multiply
    11,924.73x = 16,459.03 × 7,147.50
  4. Step 4: Simplify right side
    11,924.73x = 117,640,916.93
  5. Step 5: Solve for x
    x = 117,640,916.93/11,924.73
  6. Step 6: Final answer
    x = 9,865.29

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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.