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Finding the Fourth Proportional to 14,344.28, 19,794.35 and 7,971.24

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Solution

The fourth proportional to 14,344.28, 19,794.35 and 7,971.24 is: 10,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.28 : 19,794.35 = 7,971.24 : x
  2. Step 2: Convert to fraction form
    14,344.28/19,794.35 = 7,971.24/x
  3. Step 3: Cross multiply
    14,344.28x = 19,794.35 × 7,971.24
  4. Step 4: Simplify right side
    14,344.28x = 157,785,534.42
  5. Step 5: Solve for x
    x = 157,785,534.42/14,344.28
  6. Step 6: Final answer
    x = 10,999.90

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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.