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Finding the Fourth Proportional to 13,941.51, 19,233.81 and 7,969.98

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Solution

The fourth proportional to 13,941.51, 19,233.81 and 7,969.98 is: 10,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941.51 : 19,233.81 = 7,969.98 : x
  2. Step 2: Convert to fraction form
    13,941.51/19,233.81 = 7,969.98/x
  3. Step 3: Cross multiply
    13,941.51x = 19,233.81 × 7,969.98
  4. Step 4: Simplify right side
    13,941.51x = 153,293,081.02
  5. Step 5: Solve for x
    x = 153,293,081.02/13,941.51
  6. Step 6: Final answer
    x = 10,995.44

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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.