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Finding the Fourth Proportional to 13,797.30, 20,581.19 and 12,468.66

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Solution

The fourth proportional to 13,797.30, 20,581.19 and 12,468.66 is: 18,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.30 : 20,581.19 = 12,468.66 : x
  2. Step 2: Convert to fraction form
    13,797.30/20,581.19 = 12,468.66/x
  3. Step 3: Cross multiply
    13,797.30x = 20,581.19 × 12,468.66
  4. Step 4: Simplify right side
    13,797.30x = 256,619,798.16
  5. Step 5: Solve for x
    x = 256,619,798.16/13,797.30
  6. Step 6: Final answer
    x = 18,599.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.