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Finding the Fourth Proportional to 14,321.79, 19,757.28 and 9,287.64

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Solution

The fourth proportional to 14,321.79, 19,757.28 and 9,287.64 is: 12,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.79 : 19,757.28 = 9,287.64 : x
  2. Step 2: Convert to fraction form
    14,321.79/19,757.28 = 9,287.64/x
  3. Step 3: Cross multiply
    14,321.79x = 19,757.28 × 9,287.64
  4. Step 4: Simplify right side
    14,321.79x = 183,498,504.02
  5. Step 5: Solve for x
    x = 183,498,504.02/14,321.79
  6. Step 6: Final answer
    x = 12,812.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.