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Finding the Fourth Proportional to 12,190.30, 16,823.22 and 7,154.74

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Solution

The fourth proportional to 12,190.30, 16,823.22 and 7,154.74 is: 9,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.30 : 16,823.22 = 7,154.74 : x
  2. Step 2: Convert to fraction form
    12,190.30/16,823.22 = 7,154.74/x
  3. Step 3: Cross multiply
    12,190.30x = 16,823.22 × 7,154.74
  4. Step 4: Simplify right side
    12,190.30x = 120,365,680.95
  5. Step 5: Solve for x
    x = 120,365,680.95/12,190.30
  6. Step 6: Final answer
    x = 9,873.89

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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.