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Finding the Fourth Proportional to 27,730.04, 41,590.08 and 8,003.84

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Solution

The fourth proportional to 27,730.04, 41,590.08 and 8,003.84 is: 12,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730.04 : 41,590.08 = 8,003.84 : x
  2. Step 2: Convert to fraction form
    27,730.04/41,590.08 = 8,003.84/x
  3. Step 3: Cross multiply
    27,730.04x = 41,590.08 × 8,003.84
  4. Step 4: Simplify right side
    27,730.04x = 332,880,345.91
  5. Step 5: Solve for x
    x = 332,880,345.91/27,730.04
  6. Step 6: Final answer
    x = 12,004.32

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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.