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Finding the Fourth Proportional to 12,024.64, 18,040.60 and 5,782.88

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Solution

The fourth proportional to 12,024.64, 18,040.60 and 5,782.88 is: 8,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.64 : 18,040.60 = 5,782.88 : x
  2. Step 2: Convert to fraction form
    12,024.64/18,040.60 = 5,782.88/x
  3. Step 3: Cross multiply
    12,024.64x = 18,040.60 × 5,782.88
  4. Step 4: Simplify right side
    12,024.64x = 104,326,575.78
  5. Step 5: Solve for x
    x = 104,326,575.78/12,024.64
  6. Step 6: Final answer
    x = 8,676.07

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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.