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Finding the Fourth Proportional to 14,197.36, 19,592.29 and 7,824.03

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Solution

The fourth proportional to 14,197.36, 19,592.29 and 7,824.03 is: 10,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.36 : 19,592.29 = 7,824.03 : x
  2. Step 2: Convert to fraction form
    14,197.36/19,592.29 = 7,824.03/x
  3. Step 3: Cross multiply
    14,197.36x = 19,592.29 × 7,824.03
  4. Step 4: Simplify right side
    14,197.36x = 153,290,664.73
  5. Step 5: Solve for x
    x = 153,290,664.73/14,197.36
  6. Step 6: Final answer
    x = 10,797.12

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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.