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Finding the Fourth Proportional to 13,643.29, 20,464.94 and 6,138.08

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Solution

The fourth proportional to 13,643.29, 20,464.94 and 6,138.08 is: 9,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.29 : 20,464.94 = 6,138.08 : x
  2. Step 2: Convert to fraction form
    13,643.29/20,464.94 = 6,138.08/x
  3. Step 3: Cross multiply
    13,643.29x = 20,464.94 × 6,138.08
  4. Step 4: Simplify right side
    13,643.29x = 125,615,522.22
  5. Step 5: Solve for x
    x = 125,615,522.22/13,643.29
  6. Step 6: Final answer
    x = 9,207.13

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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.