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Finding the Fourth Proportional to 13,251.78, 19,877.67 and 6,683.49

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Solution

The fourth proportional to 13,251.78, 19,877.67 and 6,683.49 is: 10,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.78 : 19,877.67 = 6,683.49 : x
  2. Step 2: Convert to fraction form
    13,251.78/19,877.67 = 6,683.49/x
  3. Step 3: Cross multiply
    13,251.78x = 19,877.67 × 6,683.49
  4. Step 4: Simplify right side
    13,251.78x = 132,852,208.67
  5. Step 5: Solve for x
    x = 132,852,208.67/13,251.78
  6. Step 6: Final answer
    x = 10,025.24

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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.