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Finding the Fourth Proportional to 12,194.01, 16,827.39 and 7,158.15

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Solution

The fourth proportional to 12,194.01, 16,827.39 and 7,158.15 is: 9,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.01 : 16,827.39 = 7,158.15 : x
  2. Step 2: Convert to fraction form
    12,194.01/16,827.39 = 7,158.15/x
  3. Step 3: Cross multiply
    12,194.01x = 16,827.39 × 7,158.15
  4. Step 4: Simplify right side
    12,194.01x = 120,452,981.73
  5. Step 5: Solve for x
    x = 120,452,981.73/12,194.01
  6. Step 6: Final answer
    x = 9,878.05

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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.