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Finding the Fourth Proportional to 19,870.80, 29,798.82 and 5,827.20

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Solution

The fourth proportional to 19,870.80, 29,798.82 and 5,827.20 is: 8,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.80 : 29,798.82 = 5,827.20 : x
  2. Step 2: Convert to fraction form
    19,870.80/29,798.82 = 5,827.20/x
  3. Step 3: Cross multiply
    19,870.80x = 29,798.82 × 5,827.20
  4. Step 4: Simplify right side
    19,870.80x = 173,643,683.90
  5. Step 5: Solve for x
    x = 173,643,683.90/19,870.80
  6. Step 6: Final answer
    x = 8,738.64

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