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Finding the Fourth Proportional to 31,788.91, 47,690.64 and 13,780.16

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Solution

The fourth proportional to 31,788.91, 47,690.64 and 13,780.16 is: 20,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.91 : 47,690.64 = 13,780.16 : x
  2. Step 2: Convert to fraction form
    31,788.91/47,690.64 = 13,780.16/x
  3. Step 3: Cross multiply
    31,788.91x = 47,690.64 × 13,780.16
  4. Step 4: Simplify right side
    31,788.91x = 657,184,590.09
  5. Step 5: Solve for x
    x = 657,184,590.09/31,788.91
  6. Step 6: Final answer
    x = 20,673.39

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