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Finding the Fourth Proportional to 27,478.40, 41,216.31 and 11,461.32

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Solution

The fourth proportional to 27,478.40, 41,216.31 and 11,461.32 is: 17,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.40 : 41,216.31 = 11,461.32 : x
  2. Step 2: Convert to fraction form
    27,478.40/41,216.31 = 11,461.32/x
  3. Step 3: Cross multiply
    27,478.40x = 41,216.31 × 11,461.32
  4. Step 4: Simplify right side
    27,478.40x = 472,393,318.13
  5. Step 5: Solve for x
    x = 472,393,318.13/27,478.40
  6. Step 6: Final answer
    x = 17,191.44

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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.