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Finding the Fourth Proportional to 21,605.64, 32,413.56 and 8,454.48

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Solution

The fourth proportional to 21,605.64, 32,413.56 and 8,454.48 is: 12,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605.64 : 32,413.56 = 8,454.48 : x
  2. Step 2: Convert to fraction form
    21,605.64/32,413.56 = 8,454.48/x
  3. Step 3: Cross multiply
    21,605.64x = 32,413.56 × 8,454.48
  4. Step 4: Simplify right side
    21,605.64x = 274,039,794.75
  5. Step 5: Solve for x
    x = 274,039,794.75/21,605.64
  6. Step 6: Final answer
    x = 12,683.72

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1.5x scale

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.