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Finding the Fourth Proportional to 15,345.49, 21,085 and 12,196.21

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Solution

The fourth proportional to 15,345.49, 21,085 and 12,196.21 is: 16,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,345.49 : 21,085 = 12,196.21 : x
  2. Step 2: Convert to fraction form
    15,345.49/21,085 = 12,196.21/x
  3. Step 3: Cross multiply
    15,345.49x = 21,085 × 12,196.21
  4. Step 4: Simplify right side
    15,345.49x = 257,157,087.85
  5. Step 5: Solve for x
    x = 257,157,087.85/15,345.49
  6. Step 6: Final answer
    x = 16,757.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.