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Finding the Fourth Proportional to 12,214.94, 16,854.60 and 7,178.78

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Solution

The fourth proportional to 12,214.94, 16,854.60 and 7,178.78 is: 9,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.94 : 16,854.60 = 7,178.78 : x
  2. Step 2: Convert to fraction form
    12,214.94/16,854.60 = 7,178.78/x
  3. Step 3: Cross multiply
    12,214.94x = 16,854.60 × 7,178.78
  4. Step 4: Simplify right side
    12,214.94x = 120,995,465.39
  5. Step 5: Solve for x
    x = 120,995,465.39/12,214.94
  6. Step 6: Final answer
    x = 9,905.53

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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.