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Finding the Fourth Proportional to 14,900.30, 20,562.94 and 8,186.15

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Solution

The fourth proportional to 14,900.30, 20,562.94 and 8,186.15 is: 11,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.30 : 20,562.94 = 8,186.15 : x
  2. Step 2: Convert to fraction form
    14,900.30/20,562.94 = 8,186.15/x
  3. Step 3: Cross multiply
    14,900.30x = 20,562.94 × 8,186.15
  4. Step 4: Simplify right side
    14,900.30x = 168,331,342.22
  5. Step 5: Solve for x
    x = 168,331,342.22/14,900.30
  6. Step 6: Final answer
    x = 11,297.18

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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.