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Finding the Fourth Proportional to 14,355.50, 19,808.82 and 8,382.83

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Solution

The fourth proportional to 14,355.50, 19,808.82 and 8,382.83 is: 11,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,355.50 : 19,808.82 = 8,382.83 : x
  2. Step 2: Convert to fraction form
    14,355.50/19,808.82 = 8,382.83/x
  3. Step 3: Cross multiply
    14,355.50x = 19,808.82 × 8,382.83
  4. Step 4: Simplify right side
    14,355.50x = 166,053,871.52
  5. Step 5: Solve for x
    x = 166,053,871.52/14,355.50
  6. Step 6: Final answer
    x = 11,567.27

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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.