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Finding the Fourth Proportional to 21,609.50, 32,413.92 and 13,178.48

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Solution

The fourth proportional to 21,609.50, 32,413.92 and 13,178.48 is: 19,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,609.50 : 32,413.92 = 13,178.48 : x
  2. Step 2: Convert to fraction form
    21,609.50/32,413.92 = 13,178.48/x
  3. Step 3: Cross multiply
    21,609.50x = 32,413.92 × 13,178.48
  4. Step 4: Simplify right side
    21,609.50x = 427,166,196.44
  5. Step 5: Solve for x
    x = 427,166,196.44/21,609.50
  6. Step 6: Final answer
    x = 19,767.52

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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.