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Finding the Fourth Proportional to 13,741.54, 20,594.08 and 7,485.51

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Solution

The fourth proportional to 13,741.54, 20,594.08 and 7,485.51 is: 11,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.54 : 20,594.08 = 7,485.51 : x
  2. Step 2: Convert to fraction form
    13,741.54/20,594.08 = 7,485.51/x
  3. Step 3: Cross multiply
    13,741.54x = 20,594.08 × 7,485.51
  4. Step 4: Simplify right side
    13,741.54x = 154,157,191.78
  5. Step 5: Solve for x
    x = 154,157,191.78/13,741.54
  6. Step 6: Final answer
    x = 11,218.33

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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.