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Finding the Fourth Proportional to 26,299.32, 39,444.60 and 7,827

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Solution

The fourth proportional to 26,299.32, 39,444.60 and 7,827 is: 11,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,299.32 : 39,444.60 = 7,827 : x
  2. Step 2: Convert to fraction form
    26,299.32/39,444.60 = 7,827/x
  3. Step 3: Cross multiply
    26,299.32x = 39,444.60 × 7,827
  4. Step 4: Simplify right side
    26,299.32x = 308,732,884.20
  5. Step 5: Solve for x
    x = 308,732,884.20/26,299.32
  6. Step 6: Final answer
    x = 11,739.20

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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.