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Finding the Fourth Proportional to 10,952.48, 16,431.77 and 9,193.32

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Solution

The fourth proportional to 10,952.48, 16,431.77 and 9,193.32 is: 13,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.48 : 16,431.77 = 9,193.32 : x
  2. Step 2: Convert to fraction form
    10,952.48/16,431.77 = 9,193.32/x
  3. Step 3: Cross multiply
    10,952.48x = 16,431.77 × 9,193.32
  4. Step 4: Simplify right side
    10,952.48x = 151,062,542.76
  5. Step 5: Solve for x
    x = 151,062,542.76/10,952.48
  6. Step 6: Final answer
    x = 13,792.54

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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.