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Finding the Fourth Proportional to 13,941.21, 19,238.94 and 7,973.13

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Solution

The fourth proportional to 13,941.21, 19,238.94 and 7,973.13 is: 11,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941.21 : 19,238.94 = 7,973.13 : x
  2. Step 2: Convert to fraction form
    13,941.21/19,238.94 = 7,973.13/x
  3. Step 3: Cross multiply
    13,941.21x = 19,238.94 × 7,973.13
  4. Step 4: Simplify right side
    13,941.21x = 153,394,569.68
  5. Step 5: Solve for x
    x = 153,394,569.68/13,941.21
  6. Step 6: Final answer
    x = 11,002.96

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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.