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Finding the Fourth Proportional to 13,969.83, 19,277.98 and 7,682.21

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Solution

The fourth proportional to 13,969.83, 19,277.98 and 7,682.21 is: 10,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.83 : 19,277.98 = 7,682.21 : x
  2. Step 2: Convert to fraction form
    13,969.83/19,277.98 = 7,682.21/x
  3. Step 3: Cross multiply
    13,969.83x = 19,277.98 × 7,682.21
  4. Step 4: Simplify right side
    13,969.83x = 148,097,394.35
  5. Step 5: Solve for x
    x = 148,097,394.35/13,969.83
  6. Step 6: Final answer
    x = 10,601.23

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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.