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Finding the Fourth Proportional to 27,970.09, 41,955.08 and 8,262.49

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Solution

The fourth proportional to 27,970.09, 41,955.08 and 8,262.49 is: 12,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.09 : 41,955.08 = 8,262.49 : x
  2. Step 2: Convert to fraction form
    27,970.09/41,955.08 = 8,262.49/x
  3. Step 3: Cross multiply
    27,970.09x = 41,955.08 × 8,262.49
  4. Step 4: Simplify right side
    27,970.09x = 346,653,219.17
  5. Step 5: Solve for x
    x = 346,653,219.17/27,970.09
  6. Step 6: Final answer
    x = 12,393.71

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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.