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Finding the Fourth Proportional to 12,890.37, 19,300.89 and 8,184.90

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Solution

The fourth proportional to 12,890.37, 19,300.89 and 8,184.90 is: 12,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.37 : 19,300.89 = 8,184.90 : x
  2. Step 2: Convert to fraction form
    12,890.37/19,300.89 = 8,184.90/x
  3. Step 3: Cross multiply
    12,890.37x = 19,300.89 × 8,184.90
  4. Step 4: Simplify right side
    12,890.37x = 157,975,854.56
  5. Step 5: Solve for x
    x = 157,975,854.56/12,890.37
  6. Step 6: Final answer
    x = 12,255.34

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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.