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Finding the Fourth Proportional to 28,564.83, 42,874.92 and 13,784.13

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Solution

The fourth proportional to 28,564.83, 42,874.92 and 13,784.13 is: 20,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.83 : 42,874.92 = 13,784.13 : x
  2. Step 2: Convert to fraction form
    28,564.83/42,874.92 = 13,784.13/x
  3. Step 3: Cross multiply
    28,564.83x = 42,874.92 × 13,784.13
  4. Step 4: Simplify right side
    28,564.83x = 590,993,471.02
  5. Step 5: Solve for x
    x = 590,993,471.02/28,564.83
  6. Step 6: Final answer
    x = 20,689.55

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