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Finding the Fourth Proportional to 26,884.44, 37,101.76 and 14,949

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Solution

The fourth proportional to 26,884.44, 37,101.76 and 14,949 is: 20,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,884.44 : 37,101.76 = 14,949 : x
  2. Step 2: Convert to fraction form
    26,884.44/37,101.76 = 14,949/x
  3. Step 3: Cross multiply
    26,884.44x = 37,101.76 × 14,949
  4. Step 4: Simplify right side
    26,884.44x = 554,634,210.24
  5. Step 5: Solve for x
    x = 554,634,210.24/26,884.44
  6. Step 6: Final answer
    x = 20,630.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.