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Finding the Fourth Proportional to 15,494.47, 23,243.24 and 4,961.84

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Solution

The fourth proportional to 15,494.47, 23,243.24 and 4,961.84 is: 7,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.47 : 23,243.24 = 4,961.84 : x
  2. Step 2: Convert to fraction form
    15,494.47/23,243.24 = 4,961.84/x
  3. Step 3: Cross multiply
    15,494.47x = 23,243.24 × 4,961.84
  4. Step 4: Simplify right side
    15,494.47x = 115,329,237.96
  5. Step 5: Solve for x
    x = 115,329,237.96/15,494.47
  6. Step 6: Final answer
    x = 7,443.25

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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.