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Finding the Fourth Proportional to 12,969.63, 19,439.19 and 7,426.80

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Solution

The fourth proportional to 12,969.63, 19,439.19 and 7,426.80 is: 11,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.63 : 19,439.19 = 7,426.80 : x
  2. Step 2: Convert to fraction form
    12,969.63/19,439.19 = 7,426.80/x
  3. Step 3: Cross multiply
    12,969.63x = 19,439.19 × 7,426.80
  4. Step 4: Simplify right side
    12,969.63x = 144,370,976.29
  5. Step 5: Solve for x
    x = 144,370,976.29/12,969.63
  6. Step 6: Final answer
    x = 11,131.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.