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Finding the Fourth Proportional to 13,854.65, 19,121.04 and 7,804.94

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Solution

The fourth proportional to 13,854.65, 19,121.04 and 7,804.94 is: 10,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.65 : 19,121.04 = 7,804.94 : x
  2. Step 2: Convert to fraction form
    13,854.65/19,121.04 = 7,804.94/x
  3. Step 3: Cross multiply
    13,854.65x = 19,121.04 × 7,804.94
  4. Step 4: Simplify right side
    13,854.65x = 149,238,474.33
  5. Step 5: Solve for x
    x = 149,238,474.33/13,854.65
  6. Step 6: Final answer
    x = 10,771.73

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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.