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Finding the Fourth Proportional to 21,413.64, 32,128.74 and 8,262.36

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Solution

The fourth proportional to 21,413.64, 32,128.74 and 8,262.36 is: 12,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.64 : 32,128.74 = 8,262.36 : x
  2. Step 2: Convert to fraction form
    21,413.64/32,128.74 = 8,262.36/x
  3. Step 3: Cross multiply
    21,413.64x = 32,128.74 × 8,262.36
  4. Step 4: Simplify right side
    21,413.64x = 265,459,216.23
  5. Step 5: Solve for x
    x = 265,459,216.23/21,413.64
  6. Step 6: Final answer
    x = 12,396.73

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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.