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Finding the Fourth Proportional to 15,877.24, 23,812.82 and 7,977.56

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Solution

The fourth proportional to 15,877.24, 23,812.82 and 7,977.56 is: 11,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.24 : 23,812.82 = 7,977.56 : x
  2. Step 2: Convert to fraction form
    15,877.24/23,812.82 = 7,977.56/x
  3. Step 3: Cross multiply
    15,877.24x = 23,812.82 × 7,977.56
  4. Step 4: Simplify right side
    15,877.24x = 189,968,200.32
  5. Step 5: Solve for x
    x = 189,968,200.32/15,877.24
  6. Step 6: Final answer
    x = 11,964.81

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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.