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Finding the Fourth Proportional to 21,606.95, 32,413.14 and 6,024.57

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Solution

The fourth proportional to 21,606.95, 32,413.14 and 6,024.57 is: 9,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,606.95 : 32,413.14 = 6,024.57 : x
  2. Step 2: Convert to fraction form
    21,606.95/32,413.14 = 6,024.57/x
  3. Step 3: Cross multiply
    21,606.95x = 32,413.14 × 6,024.57
  4. Step 4: Simplify right side
    21,606.95x = 195,275,230.85
  5. Step 5: Solve for x
    x = 195,275,230.85/21,606.95
  6. Step 6: Final answer
    x = 9,037.61

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Why These Related Problems?

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