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Finding the Fourth Proportional to 12,031.86, 18,047.58 and 5,015.64

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Solution

The fourth proportional to 12,031.86, 18,047.58 and 5,015.64 is: 7,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.86 : 18,047.58 = 5,015.64 : x
  2. Step 2: Convert to fraction form
    12,031.86/18,047.58 = 5,015.64/x
  3. Step 3: Cross multiply
    12,031.86x = 18,047.58 × 5,015.64
  4. Step 4: Simplify right side
    12,031.86x = 90,520,164.15
  5. Step 5: Solve for x
    x = 90,520,164.15/12,031.86
  6. Step 6: Final answer
    x = 7,523.37

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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.