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Finding the Fourth Proportional to 12,196.51, 18,294.86 and 3,431.50

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Solution

The fourth proportional to 12,196.51, 18,294.86 and 3,431.50 is: 5,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.51 : 18,294.86 = 3,431.50 : x
  2. Step 2: Convert to fraction form
    12,196.51/18,294.86 = 3,431.50/x
  3. Step 3: Cross multiply
    12,196.51x = 18,294.86 × 3,431.50
  4. Step 4: Simplify right side
    12,196.51x = 62,778,774.93
  5. Step 5: Solve for x
    x = 62,778,774.93/12,196.51
  6. Step 6: Final answer
    x = 5,147.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.