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Finding the Fourth Proportional to 12,280.83, 18,410.30 and 5,703.43

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Solution

The fourth proportional to 12,280.83, 18,410.30 and 5,703.43 is: 8,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.83 : 18,410.30 = 5,703.43 : x
  2. Step 2: Convert to fraction form
    12,280.83/18,410.30 = 5,703.43/x
  3. Step 3: Cross multiply
    12,280.83x = 18,410.30 × 5,703.43
  4. Step 4: Simplify right side
    12,280.83x = 105,001,736.76
  5. Step 5: Solve for x
    x = 105,001,736.76/12,280.83
  6. Step 6: Final answer
    x = 8,550.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.