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Finding the Fourth Proportional to 10,911.67, 16,356.57 and 9,599.47

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Solution

The fourth proportional to 10,911.67, 16,356.57 and 9,599.47 is: 14,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.67 : 16,356.57 = 9,599.47 : x
  2. Step 2: Convert to fraction form
    10,911.67/16,356.57 = 9,599.47/x
  3. Step 3: Cross multiply
    10,911.67x = 16,356.57 × 9,599.47
  4. Step 4: Simplify right side
    10,911.67x = 157,014,403.02
  5. Step 5: Solve for x
    x = 157,014,403.02/10,911.67
  6. Step 6: Final answer
    x = 14,389.59

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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.