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Finding the Fourth Proportional to 12,800.24, 17,671.91 and 11,380.01

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Solution

The fourth proportional to 12,800.24, 17,671.91 and 11,380.01 is: 15,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.24 : 17,671.91 = 11,380.01 : x
  2. Step 2: Convert to fraction form
    12,800.24/17,671.91 = 11,380.01/x
  3. Step 3: Cross multiply
    12,800.24x = 17,671.91 × 11,380.01
  4. Step 4: Simplify right side
    12,800.24x = 201,106,540.22
  5. Step 5: Solve for x
    x = 201,106,540.22/12,800.24
  6. Step 6: Final answer
    x = 15,711.15

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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.