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Finding the Fourth Proportional to 25,643.96, 38,467.34 and 8,112.48

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Solution

The fourth proportional to 25,643.96, 38,467.34 and 8,112.48 is: 12,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.96 : 38,467.34 = 8,112.48 : x
  2. Step 2: Convert to fraction form
    25,643.96/38,467.34 = 8,112.48/x
  3. Step 3: Cross multiply
    25,643.96x = 38,467.34 × 8,112.48
  4. Step 4: Simplify right side
    25,643.96x = 312,065,526.40
  5. Step 5: Solve for x
    x = 312,065,526.40/25,643.96
  6. Step 6: Final answer
    x = 12,169.16

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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.