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Finding the Fourth Proportional to 27,930.12, 41,888.70 and 8,203.38

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Solution

The fourth proportional to 27,930.12, 41,888.70 and 8,203.38 is: 12,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930.12 : 41,888.70 = 8,203.38 : x
  2. Step 2: Convert to fraction form
    27,930.12/41,888.70 = 8,203.38/x
  3. Step 3: Cross multiply
    27,930.12x = 41,888.70 × 8,203.38
  4. Step 4: Simplify right side
    27,930.12x = 343,628,923.81
  5. Step 5: Solve for x
    x = 343,628,923.81/27,930.12
  6. Step 6: Final answer
    x = 12,303.17

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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.