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Finding the Fourth Proportional to 26,649.32, 39,967.01 and 7,924.31

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Solution

The fourth proportional to 26,649.32, 39,967.01 and 7,924.31 is: 11,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,649.32 : 39,967.01 = 7,924.31 : x
  2. Step 2: Convert to fraction form
    26,649.32/39,967.01 = 7,924.31/x
  3. Step 3: Cross multiply
    26,649.32x = 39,967.01 × 7,924.31
  4. Step 4: Simplify right side
    26,649.32x = 316,710,977.01
  5. Step 5: Solve for x
    x = 316,710,977.01/26,649.32
  6. Step 6: Final answer
    x = 11,884.39

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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.