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Finding the Fourth Proportional to 12,090.39, 16,683.60 and 9,578.71

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Solution

The fourth proportional to 12,090.39, 16,683.60 and 9,578.71 is: 13,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.39 : 16,683.60 = 9,578.71 : x
  2. Step 2: Convert to fraction form
    12,090.39/16,683.60 = 9,578.71/x
  3. Step 3: Cross multiply
    12,090.39x = 16,683.60 × 9,578.71
  4. Step 4: Simplify right side
    12,090.39x = 159,807,366.16
  5. Step 5: Solve for x
    x = 159,807,366.16/12,090.39
  6. Step 6: Final answer
    x = 13,217.72

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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.