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Finding the Fourth Proportional to 10,720.69, 16,004.24 and 9,319.81

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Solution

The fourth proportional to 10,720.69, 16,004.24 and 9,319.81 is: 13,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.69 : 16,004.24 = 9,319.81 : x
  2. Step 2: Convert to fraction form
    10,720.69/16,004.24 = 9,319.81/x
  3. Step 3: Cross multiply
    10,720.69x = 16,004.24 × 9,319.81
  4. Step 4: Simplify right side
    10,720.69x = 149,156,475.99
  5. Step 5: Solve for x
    x = 149,156,475.99/10,720.69
  6. Step 6: Final answer
    x = 13,912.95

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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.