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Finding the Fourth Proportional to 13,449.44, 18,534.62 and 9,865.40

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Solution

The fourth proportional to 13,449.44, 18,534.62 and 9,865.40 is: 13,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.44 : 18,534.62 = 9,865.40 : x
  2. Step 2: Convert to fraction form
    13,449.44/18,534.62 = 9,865.40/x
  3. Step 3: Cross multiply
    13,449.44x = 18,534.62 × 9,865.40
  4. Step 4: Simplify right side
    13,449.44x = 182,851,372.14
  5. Step 5: Solve for x
    x = 182,851,372.14/13,449.44
  6. Step 6: Final answer
    x = 13,595.46

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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.