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Finding the Fourth Proportional to 28,205.13, 42,309.82 and 9,485.22

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Solution

The fourth proportional to 28,205.13, 42,309.82 and 9,485.22 is: 14,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.13 : 42,309.82 = 9,485.22 : x
  2. Step 2: Convert to fraction form
    28,205.13/42,309.82 = 9,485.22/x
  3. Step 3: Cross multiply
    28,205.13x = 42,309.82 × 9,485.22
  4. Step 4: Simplify right side
    28,205.13x = 401,317,950.86
  5. Step 5: Solve for x
    x = 401,317,950.86/28,205.13
  6. Step 6: Final answer
    x = 14,228.54

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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.