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Finding the Fourth Proportional to 13,097.70, 19,635.06 and 5,205.72

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Solution

The fourth proportional to 13,097.70, 19,635.06 and 5,205.72 is: 7,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.70 : 19,635.06 = 5,205.72 : x
  2. Step 2: Convert to fraction form
    13,097.70/19,635.06 = 5,205.72/x
  3. Step 3: Cross multiply
    13,097.70x = 19,635.06 × 5,205.72
  4. Step 4: Simplify right side
    13,097.70x = 102,214,577.97
  5. Step 5: Solve for x
    x = 102,214,577.97/13,097.70
  6. Step 6: Final answer
    x = 7,804.01

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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.