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Finding the Fourth Proportional to 10,661.10, 15,991.65 and 9,969.90

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Solution

The fourth proportional to 10,661.10, 15,991.65 and 9,969.90 is: 14,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.10 : 15,991.65 = 9,969.90 : x
  2. Step 2: Convert to fraction form
    10,661.10/15,991.65 = 9,969.90/x
  3. Step 3: Cross multiply
    10,661.10x = 15,991.65 × 9,969.90
  4. Step 4: Simplify right side
    10,661.10x = 159,435,151.34
  5. Step 5: Solve for x
    x = 159,435,151.34/10,661.10
  6. Step 6: Final answer
    x = 14,954.85

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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.