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Finding the Fourth Proportional to 25,853.64, 38,780.60 and 9,214.32

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Solution

The fourth proportional to 25,853.64, 38,780.60 and 9,214.32 is: 13,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.64 : 38,780.60 = 9,214.32 : x
  2. Step 2: Convert to fraction form
    25,853.64/38,780.60 = 9,214.32/x
  3. Step 3: Cross multiply
    25,853.64x = 38,780.60 × 9,214.32
  4. Step 4: Simplify right side
    25,853.64x = 357,336,858.19
  5. Step 5: Solve for x
    x = 357,336,858.19/25,853.64
  6. Step 6: Final answer
    x = 13,821.53

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