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Finding the Fourth Proportional to 19,782.56, 29,678.64 and 5,931.44

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Solution

The fourth proportional to 19,782.56, 29,678.64 and 5,931.44 is: 8,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.56 : 29,678.64 = 5,931.44 : x
  2. Step 2: Convert to fraction form
    19,782.56/29,678.64 = 5,931.44/x
  3. Step 3: Cross multiply
    19,782.56x = 29,678.64 × 5,931.44
  4. Step 4: Simplify right side
    19,782.56x = 176,037,072.44
  5. Step 5: Solve for x
    x = 176,037,072.44/19,782.56
  6. Step 6: Final answer
    x = 8,898.60

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