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Finding the Fourth Proportional to 25,662.20, 35,413.86 and 14,909.16

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Solution

The fourth proportional to 25,662.20, 35,413.86 and 14,909.16 is: 20,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,662.20 : 35,413.86 = 14,909.16 : x
  2. Step 2: Convert to fraction form
    25,662.20/35,413.86 = 14,909.16/x
  3. Step 3: Cross multiply
    25,662.20x = 35,413.86 × 14,909.16
  4. Step 4: Simplify right side
    25,662.20x = 527,990,904.96
  5. Step 5: Solve for x
    x = 527,990,904.96/25,662.20
  6. Step 6: Final answer
    x = 20,574.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.