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Finding the Fourth Proportional to 14,551.70, 20,083.76 and 8,584.83

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Solution

The fourth proportional to 14,551.70, 20,083.76 and 8,584.83 is: 11,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.70 : 20,083.76 = 8,584.83 : x
  2. Step 2: Convert to fraction form
    14,551.70/20,083.76 = 8,584.83/x
  3. Step 3: Cross multiply
    14,551.70x = 20,083.76 × 8,584.83
  4. Step 4: Simplify right side
    14,551.70x = 172,415,622.44
  5. Step 5: Solve for x
    x = 172,415,622.44/14,551.70
  6. Step 6: Final answer
    x = 11,848.49

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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.