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Finding the Fourth Proportional to 27,590.04, 41,377.72 and 12,004

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Solution

The fourth proportional to 27,590.04, 41,377.72 and 12,004 is: 18,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,590.04 : 41,377.72 = 12,004 : x
  2. Step 2: Convert to fraction form
    27,590.04/41,377.72 = 12,004/x
  3. Step 3: Cross multiply
    27,590.04x = 41,377.72 × 12,004
  4. Step 4: Simplify right side
    27,590.04x = 496,698,150.88
  5. Step 5: Solve for x
    x = 496,698,150.88/27,590.04
  6. Step 6: Final answer
    x = 18,002.81

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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.