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Finding the Fourth Proportional to 21,509.28, 32,264.46 and 10,413.90

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Solution

The fourth proportional to 21,509.28, 32,264.46 and 10,413.90 is: 15,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.28 : 32,264.46 = 10,413.90 : x
  2. Step 2: Convert to fraction form
    21,509.28/32,264.46 = 10,413.90/x
  3. Step 3: Cross multiply
    21,509.28x = 32,264.46 × 10,413.90
  4. Step 4: Simplify right side
    21,509.28x = 335,998,859.99
  5. Step 5: Solve for x
    x = 335,998,859.99/21,509.28
  6. Step 6: Final answer
    x = 15,621.11

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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.