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Finding the Fourth Proportional to 25,339.32, 38,004.60 and 6,867

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Solution

The fourth proportional to 25,339.32, 38,004.60 and 6,867 is: 10,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,339.32 : 38,004.60 = 6,867 : x
  2. Step 2: Convert to fraction form
    25,339.32/38,004.60 = 6,867/x
  3. Step 3: Cross multiply
    25,339.32x = 38,004.60 × 6,867
  4. Step 4: Simplify right side
    25,339.32x = 260,977,588.20
  5. Step 5: Solve for x
    x = 260,977,588.20/25,339.32
  6. Step 6: Final answer
    x = 10,299.31

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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.