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Finding the Fourth Proportional to 13,525.31, 18,638.55 and 9,741.34

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Solution

The fourth proportional to 13,525.31, 18,638.55 and 9,741.34 is: 13,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.31 : 18,638.55 = 9,741.34 : x
  2. Step 2: Convert to fraction form
    13,525.31/18,638.55 = 9,741.34/x
  3. Step 3: Cross multiply
    13,525.31x = 18,638.55 × 9,741.34
  4. Step 4: Simplify right side
    13,525.31x = 181,564,452.66
  5. Step 5: Solve for x
    x = 181,564,452.66/13,525.31
  6. Step 6: Final answer
    x = 13,424.05

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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.