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Finding the Fourth Proportional to 13,643.74, 20,465.61 and 12,593.98

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Solution

The fourth proportional to 13,643.74, 20,465.61 and 12,593.98 is: 18,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.74 : 20,465.61 = 12,593.98 : x
  2. Step 2: Convert to fraction form
    13,643.74/20,465.61 = 12,593.98/x
  3. Step 3: Cross multiply
    13,643.74x = 20,465.61 × 12,593.98
  4. Step 4: Simplify right side
    13,643.74x = 257,743,483.03
  5. Step 5: Solve for x
    x = 257,743,483.03/13,643.74
  6. Step 6: Final answer
    x = 18,890.97

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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.