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Finding the Fourth Proportional to 14,240.56, 19,654.52 and 8,274.12

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Solution

The fourth proportional to 14,240.56, 19,654.52 and 8,274.12 is: 11,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.56 : 19,654.52 = 8,274.12 : x
  2. Step 2: Convert to fraction form
    14,240.56/19,654.52 = 8,274.12/x
  3. Step 3: Cross multiply
    14,240.56x = 19,654.52 × 8,274.12
  4. Step 4: Simplify right side
    14,240.56x = 162,623,857.02
  5. Step 5: Solve for x
    x = 162,623,857.02/14,240.56
  6. Step 6: Final answer
    x = 11,419.77

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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.