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Finding the Fourth Proportional to 12,280.98, 18,421.44 and 5,703.57

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Solution

The fourth proportional to 12,280.98, 18,421.44 and 5,703.57 is: 8,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.98 : 18,421.44 = 5,703.57 : x
  2. Step 2: Convert to fraction form
    12,280.98/18,421.44 = 5,703.57/x
  3. Step 3: Cross multiply
    12,280.98x = 18,421.44 × 5,703.57
  4. Step 4: Simplify right side
    12,280.98x = 105,067,972.54
  5. Step 5: Solve for x
    x = 105,067,972.54/12,280.98
  6. Step 6: Final answer
    x = 8,555.34

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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.