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Finding the Fourth Proportional to 25,823.14, 38,737.80 and 9,184.87

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Solution

The fourth proportional to 25,823.14, 38,737.80 and 9,184.87 is: 13,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.14 : 38,737.80 = 9,184.87 : x
  2. Step 2: Convert to fraction form
    25,823.14/38,737.80 = 9,184.87/x
  3. Step 3: Cross multiply
    25,823.14x = 38,737.80 × 9,184.87
  4. Step 4: Simplify right side
    25,823.14x = 355,801,657.09
  5. Step 5: Solve for x
    x = 355,801,657.09/25,823.14
  6. Step 6: Final answer
    x = 13,778.40

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