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Finding the Fourth Proportional to 21,148.62, 29,183.16 and 12,194.40

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Solution

The fourth proportional to 21,148.62, 29,183.16 and 12,194.40 is: 16,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.62 : 29,183.16 = 12,194.40 : x
  2. Step 2: Convert to fraction form
    21,148.62/29,183.16 = 12,194.40/x
  3. Step 3: Cross multiply
    21,148.62x = 29,183.16 × 12,194.40
  4. Step 4: Simplify right side
    21,148.62x = 355,871,083.02
  5. Step 5: Solve for x
    x = 355,871,083.02/21,148.62
  6. Step 6: Final answer
    x = 16,827.15

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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.