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Finding the Fourth Proportional to 13,791.93, 19,033.23 and 7,824.50

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Solution

The fourth proportional to 13,791.93, 19,033.23 and 7,824.50 is: 10,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.93 : 19,033.23 = 7,824.50 : x
  2. Step 2: Convert to fraction form
    13,791.93/19,033.23 = 7,824.50/x
  3. Step 3: Cross multiply
    13,791.93x = 19,033.23 × 7,824.50
  4. Step 4: Simplify right side
    13,791.93x = 148,925,412.97
  5. Step 5: Solve for x
    x = 148,925,412.97/13,791.93
  6. Step 6: Final answer
    x = 10,798.01

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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.