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Finding the Fourth Proportional to 13,643.15, 20,467.71 and 12,265.34

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Solution

The fourth proportional to 13,643.15, 20,467.71 and 12,265.34 is: 18,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.15 : 20,467.71 = 12,265.34 : x
  2. Step 2: Convert to fraction form
    13,643.15/20,467.71 = 12,265.34/x
  3. Step 3: Cross multiply
    13,643.15x = 20,467.71 × 12,265.34
  4. Step 4: Simplify right side
    13,643.15x = 251,043,319.83
  5. Step 5: Solve for x
    x = 251,043,319.83/13,643.15
  6. Step 6: Final answer
    x = 18,400.69

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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.