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Finding the Fourth Proportional to 27,802.09, 41,707.23 and 8,078.07

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Solution

The fourth proportional to 27,802.09, 41,707.23 and 8,078.07 is: 12,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.09 : 41,707.23 = 8,078.07 : x
  2. Step 2: Convert to fraction form
    27,802.09/41,707.23 = 8,078.07/x
  3. Step 3: Cross multiply
    27,802.09x = 41,707.23 × 8,078.07
  4. Step 4: Simplify right side
    27,802.09x = 336,913,923.45
  5. Step 5: Solve for x
    x = 336,913,923.45/27,802.09
  6. Step 6: Final answer
    x = 12,118.29

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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.