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Finding the Fourth Proportional to 19,977.68, 27,571.74 and 12,024.20

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Solution

The fourth proportional to 19,977.68, 27,571.74 and 12,024.20 is: 16,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.68 : 27,571.74 = 12,024.20 : x
  2. Step 2: Convert to fraction form
    19,977.68/27,571.74 = 12,024.20/x
  3. Step 3: Cross multiply
    19,977.68x = 27,571.74 × 12,024.20
  4. Step 4: Simplify right side
    19,977.68x = 331,528,116.11
  5. Step 5: Solve for x
    x = 331,528,116.11/19,977.68
  6. Step 6: Final answer
    x = 16,594.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.