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Finding the Fourth Proportional to 21,203.35, 31,813.32 and 6,413.76

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Solution

The fourth proportional to 21,203.35, 31,813.32 and 6,413.76 is: 9,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203.35 : 31,813.32 = 6,413.76 : x
  2. Step 2: Convert to fraction form
    21,203.35/31,813.32 = 6,413.76/x
  3. Step 3: Cross multiply
    21,203.35x = 31,813.32 × 6,413.76
  4. Step 4: Simplify right side
    21,203.35x = 204,042,999.28
  5. Step 5: Solve for x
    x = 204,042,999.28/21,203.35
  6. Step 6: Final answer
    x = 9,623.15

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