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Finding the Fourth Proportional to 26,690.25, 40,041.06 and 7,971.75

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Solution

The fourth proportional to 26,690.25, 40,041.06 and 7,971.75 is: 11,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,690.25 : 40,041.06 = 7,971.75 : x
  2. Step 2: Convert to fraction form
    26,690.25/40,041.06 = 7,971.75/x
  3. Step 3: Cross multiply
    26,690.25x = 40,041.06 × 7,971.75
  4. Step 4: Simplify right side
    26,690.25x = 319,197,320.06
  5. Step 5: Solve for x
    x = 319,197,320.06/26,690.25
  6. Step 6: Final answer
    x = 11,959.32

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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.