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Finding the Fourth Proportional to 16,293.67, 22,485.74 and 9,219.94

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Solution

The fourth proportional to 16,293.67, 22,485.74 and 9,219.94 is: 12,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,293.67 : 22,485.74 = 9,219.94 : x
  2. Step 2: Convert to fraction form
    16,293.67/22,485.74 = 9,219.94/x
  3. Step 3: Cross multiply
    16,293.67x = 22,485.74 × 9,219.94
  4. Step 4: Simplify right side
    16,293.67x = 207,317,071.34
  5. Step 5: Solve for x
    x = 207,317,071.34/16,293.67
  6. Step 6: Final answer
    x = 12,723.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.