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Finding the Fourth Proportional to 15,744.24, 23,642.68 and 9,834.89

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Solution

The fourth proportional to 15,744.24, 23,642.68 and 9,834.89 is: 14,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.24 : 23,642.68 = 9,834.89 : x
  2. Step 2: Convert to fraction form
    15,744.24/23,642.68 = 9,834.89/x
  3. Step 3: Cross multiply
    15,744.24x = 23,642.68 × 9,834.89
  4. Step 4: Simplify right side
    15,744.24x = 232,523,038.89
  5. Step 5: Solve for x
    x = 232,523,038.89/15,744.24
  6. Step 6: Final answer
    x = 14,768.77

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