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Finding the Fourth Proportional to 25,477.63, 38,216.44 and 7,948.82

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Solution

The fourth proportional to 25,477.63, 38,216.44 and 7,948.82 is: 11,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.63 : 38,216.44 = 7,948.82 : x
  2. Step 2: Convert to fraction form
    25,477.63/38,216.44 = 7,948.82/x
  3. Step 3: Cross multiply
    25,477.63x = 38,216.44 × 7,948.82
  4. Step 4: Simplify right side
    25,477.63x = 303,775,708.08
  5. Step 5: Solve for x
    x = 303,775,708.08/25,477.63
  6. Step 6: Final answer
    x = 11,923.23

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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.