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Finding the Fourth Proportional to 26,578.12, 39,853.34 and 9,924.46

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Solution

The fourth proportional to 26,578.12, 39,853.34 and 9,924.46 is: 14,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.12 : 39,853.34 = 9,924.46 : x
  2. Step 2: Convert to fraction form
    26,578.12/39,853.34 = 9,924.46/x
  3. Step 3: Cross multiply
    26,578.12x = 39,853.34 × 9,924.46
  4. Step 4: Simplify right side
    26,578.12x = 395,522,629.81
  5. Step 5: Solve for x
    x = 395,522,629.81/26,578.12
  6. Step 6: Final answer
    x = 14,881.52

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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.