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Finding the Fourth Proportional to 25,670.80, 38,507.28 and 8,141.36

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Solution

The fourth proportional to 25,670.80, 38,507.28 and 8,141.36 is: 12,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.80 : 38,507.28 = 8,141.36 : x
  2. Step 2: Convert to fraction form
    25,670.80/38,507.28 = 8,141.36/x
  3. Step 3: Cross multiply
    25,670.80x = 38,507.28 × 8,141.36
  4. Step 4: Simplify right side
    25,670.80x = 313,501,629.10
  5. Step 5: Solve for x
    x = 313,501,629.10/25,670.80
  6. Step 6: Final answer
    x = 12,212.38

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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.