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Finding the Fourth Proportional to 13,562.96, 18,716.64 and 7,594.56

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Solution

The fourth proportional to 13,562.96, 18,716.64 and 7,594.56 is: 10,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.96 : 18,716.64 = 7,594.56 : x
  2. Step 2: Convert to fraction form
    13,562.96/18,716.64 = 7,594.56/x
  3. Step 3: Cross multiply
    13,562.96x = 18,716.64 × 7,594.56
  4. Step 4: Simplify right side
    13,562.96x = 142,144,645.48
  5. Step 5: Solve for x
    x = 142,144,645.48/13,562.96
  6. Step 6: Final answer
    x = 10,480.36

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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.