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Finding the Fourth Proportional to 13,196.93, 19,804.50 and 6,956.69

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Solution

The fourth proportional to 13,196.93, 19,804.50 and 6,956.69 is: 10,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.93 : 19,804.50 = 6,956.69 : x
  2. Step 2: Convert to fraction form
    13,196.93/19,804.50 = 6,956.69/x
  3. Step 3: Cross multiply
    13,196.93x = 19,804.50 × 6,956.69
  4. Step 4: Simplify right side
    13,196.93x = 137,773,668.08
  5. Step 5: Solve for x
    x = 137,773,668.08/13,196.93
  6. Step 6: Final answer
    x = 10,439.83

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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.