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Finding the Fourth Proportional to 13,509.62, 18,643.83 and 7,540.14

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Solution

The fourth proportional to 13,509.62, 18,643.83 and 7,540.14 is: 10,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.62 : 18,643.83 = 7,540.14 : x
  2. Step 2: Convert to fraction form
    13,509.62/18,643.83 = 7,540.14/x
  3. Step 3: Cross multiply
    13,509.62x = 18,643.83 × 7,540.14
  4. Step 4: Simplify right side
    13,509.62x = 140,577,078.12
  5. Step 5: Solve for x
    x = 140,577,078.12/13,509.62
  6. Step 6: Final answer
    x = 10,405.70

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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.