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Finding the Fourth Proportional to 25,327.32, 37,986.60 and 6,855

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Solution

The fourth proportional to 25,327.32, 37,986.60 and 6,855 is: 10,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,327.32 : 37,986.60 = 6,855 : x
  2. Step 2: Convert to fraction form
    25,327.32/37,986.60 = 6,855/x
  3. Step 3: Cross multiply
    25,327.32x = 37,986.60 × 6,855
  4. Step 4: Simplify right side
    25,327.32x = 260,398,143
  5. Step 5: Solve for x
    x = 260,398,143/25,327.32
  6. Step 6: Final answer
    x = 10,281.31

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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.