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Finding the Fourth Proportional to 14,562.22, 20,095.86 and 8,274.59

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Solution

The fourth proportional to 14,562.22, 20,095.86 and 8,274.59 is: 11,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.22 : 20,095.86 = 8,274.59 : x
  2. Step 2: Convert to fraction form
    14,562.22/20,095.86 = 8,274.59/x
  3. Step 3: Cross multiply
    14,562.22x = 20,095.86 × 8,274.59
  4. Step 4: Simplify right side
    14,562.22x = 166,285,002.20
  5. Step 5: Solve for x
    x = 166,285,002.20/14,562.22
  6. Step 6: Final answer
    x = 11,418.93

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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.