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Finding the Fourth Proportional to 26,509.42, 39,762.87 and 7,788.70

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Solution

The fourth proportional to 26,509.42, 39,762.87 and 7,788.70 is: 11,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.42 : 39,762.87 = 7,788.70 : x
  2. Step 2: Convert to fraction form
    26,509.42/39,762.87 = 7,788.70/x
  3. Step 3: Cross multiply
    26,509.42x = 39,762.87 × 7,788.70
  4. Step 4: Simplify right side
    26,509.42x = 309,701,065.57
  5. Step 5: Solve for x
    x = 309,701,065.57/26,509.42
  6. Step 6: Final answer
    x = 11,682.68

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