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Finding the Fourth Proportional to 12,194.76, 16,817.10 and 7,415.52

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Solution

The fourth proportional to 12,194.76, 16,817.10 and 7,415.52 is: 10,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.76 : 16,817.10 = 7,415.52 : x
  2. Step 2: Convert to fraction form
    12,194.76/16,817.10 = 7,415.52/x
  3. Step 3: Cross multiply
    12,194.76x = 16,817.10 × 7,415.52
  4. Step 4: Simplify right side
    12,194.76x = 124,707,541.39
  5. Step 5: Solve for x
    x = 124,707,541.39/12,194.76
  6. Step 6: Final answer
    x = 10,226.32

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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.