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Finding the Fourth Proportional to 13,097.14, 19,635.82 and 6,527.97

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Solution

The fourth proportional to 13,097.14, 19,635.82 and 6,527.97 is: 9,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.14 : 19,635.82 = 6,527.97 : x
  2. Step 2: Convert to fraction form
    13,097.14/19,635.82 = 6,527.97/x
  3. Step 3: Cross multiply
    13,097.14x = 19,635.82 × 6,527.97
  4. Step 4: Simplify right side
    13,097.14x = 128,182,027.57
  5. Step 5: Solve for x
    x = 128,182,027.57/13,097.14
  6. Step 6: Final answer
    x = 9,787.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.