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Finding the Fourth Proportional to 13,448.40, 18,557.49 and 7,782.02

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Solution

The fourth proportional to 13,448.40, 18,557.49 and 7,782.02 is: 10,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448.40 : 18,557.49 = 7,782.02 : x
  2. Step 2: Convert to fraction form
    13,448.40/18,557.49 = 7,782.02/x
  3. Step 3: Cross multiply
    13,448.40x = 18,557.49 × 7,782.02
  4. Step 4: Simplify right side
    13,448.40x = 144,414,626.63
  5. Step 5: Solve for x
    x = 144,414,626.63/13,448.40
  6. Step 6: Final answer
    x = 10,738.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.