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Finding the Fourth Proportional to 21,413.40, 32,125.54 and 8,262.24

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Solution

The fourth proportional to 21,413.40, 32,125.54 and 8,262.24 is: 12,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.40 : 32,125.54 = 8,262.24 : x
  2. Step 2: Convert to fraction form
    21,413.40/32,125.54 = 8,262.24/x
  3. Step 3: Cross multiply
    21,413.40x = 32,125.54 × 8,262.24
  4. Step 4: Simplify right side
    21,413.40x = 265,428,921.61
  5. Step 5: Solve for x
    x = 265,428,921.61/21,413.40
  6. Step 6: Final answer
    x = 12,395.46

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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.