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Finding the Fourth Proportional to 21,413.41, 32,112.12 and 7,369.46

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Solution

The fourth proportional to 21,413.41, 32,112.12 and 7,369.46 is: 11,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.41 : 32,112.12 = 7,369.46 : x
  2. Step 2: Convert to fraction form
    21,413.41/32,112.12 = 7,369.46/x
  3. Step 3: Cross multiply
    21,413.41x = 32,112.12 × 7,369.46
  4. Step 4: Simplify right side
    21,413.41x = 236,648,983.86
  5. Step 5: Solve for x
    x = 236,648,983.86/21,413.41
  6. Step 6: Final answer
    x = 11,051.44

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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.