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Finding the Fourth Proportional to 21,124.92, 31,692 and 7,977.36

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Solution

The fourth proportional to 21,124.92, 31,692 and 7,977.36 is: 11,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.92 : 31,692 = 7,977.36 : x
  2. Step 2: Convert to fraction form
    21,124.92/31,692 = 7,977.36/x
  3. Step 3: Cross multiply
    21,124.92x = 31,692 × 7,977.36
  4. Step 4: Simplify right side
    21,124.92x = 252,818,493.12
  5. Step 5: Solve for x
    x = 252,818,493.12/21,124.92
  6. Step 6: Final answer
    x = 11,967.78

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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.