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Finding the Fourth Proportional to 12,565.32, 18,853.74 and 6,413.64

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Solution

The fourth proportional to 12,565.32, 18,853.74 and 6,413.64 is: 9,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.32 : 18,853.74 = 6,413.64 : x
  2. Step 2: Convert to fraction form
    12,565.32/18,853.74 = 6,413.64/x
  3. Step 3: Cross multiply
    12,565.32x = 18,853.74 × 6,413.64
  4. Step 4: Simplify right side
    12,565.32x = 120,921,101.01
  5. Step 5: Solve for x
    x = 120,921,101.01/12,565.32
  6. Step 6: Final answer
    x = 9,623.40

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