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Finding the Fourth Proportional to 29,206.96, 43,816.76 and 9,485.08

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Solution

The fourth proportional to 29,206.96, 43,816.76 and 9,485.08 is: 14,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206.96 : 43,816.76 = 9,485.08 : x
  2. Step 2: Convert to fraction form
    29,206.96/43,816.76 = 9,485.08/x
  3. Step 3: Cross multiply
    29,206.96x = 43,816.76 × 9,485.08
  4. Step 4: Simplify right side
    29,206.96x = 415,605,473.94
  5. Step 5: Solve for x
    x = 415,605,473.94/29,206.96
  6. Step 6: Final answer
    x = 14,229.67

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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.