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Finding the Fourth Proportional to 27,585.72, 41,385.06 and 12,007.80

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Solution

The fourth proportional to 27,585.72, 41,385.06 and 12,007.80 is: 18,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.72 : 41,385.06 = 12,007.80 : x
  2. Step 2: Convert to fraction form
    27,585.72/41,385.06 = 12,007.80/x
  3. Step 3: Cross multiply
    27,585.72x = 41,385.06 × 12,007.80
  4. Step 4: Simplify right side
    27,585.72x = 496,943,523.47
  5. Step 5: Solve for x
    x = 496,943,523.47/27,585.72
  6. Step 6: Final answer
    x = 18,014.52

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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.