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Finding the Fourth Proportional to 14,900.40, 20,561.74 and 8,186.94

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Solution

The fourth proportional to 14,900.40, 20,561.74 and 8,186.94 is: 11,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.40 : 20,561.74 = 8,186.94 : x
  2. Step 2: Convert to fraction form
    14,900.40/20,561.74 = 8,186.94/x
  3. Step 3: Cross multiply
    14,900.40x = 20,561.74 × 8,186.94
  4. Step 4: Simplify right side
    14,900.40x = 168,337,731.68
  5. Step 5: Solve for x
    x = 168,337,731.68/14,900.40
  6. Step 6: Final answer
    x = 11,297.53

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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.