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Finding the Fourth Proportional to 13,447.66, 18,557.85 and 7,782.41

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Solution

The fourth proportional to 13,447.66, 18,557.85 and 7,782.41 is: 10,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.66 : 18,557.85 = 7,782.41 : x
  2. Step 2: Convert to fraction form
    13,447.66/18,557.85 = 7,782.41/x
  3. Step 3: Cross multiply
    13,447.66x = 18,557.85 × 7,782.41
  4. Step 4: Simplify right side
    13,447.66x = 144,424,797.42
  5. Step 5: Solve for x
    x = 144,424,797.42/13,447.66
  6. Step 6: Final answer
    x = 10,739.77

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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.