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Finding the Fourth Proportional to 12,662.56, 18,993.84 and 8,031.52

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Solution

The fourth proportional to 12,662.56, 18,993.84 and 8,031.52 is: 12,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.56 : 18,993.84 = 8,031.52 : x
  2. Step 2: Convert to fraction form
    12,662.56/18,993.84 = 8,031.52/x
  3. Step 3: Cross multiply
    12,662.56x = 18,993.84 × 8,031.52
  4. Step 4: Simplify right side
    12,662.56x = 152,549,405.84
  5. Step 5: Solve for x
    x = 152,549,405.84/12,662.56
  6. Step 6: Final answer
    x = 12,047.28

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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.