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Finding the Fourth Proportional to 12,986.21, 19,472.40 and 6,730.72

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Solution

The fourth proportional to 12,986.21, 19,472.40 and 6,730.72 is: 10,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.21 : 19,472.40 = 6,730.72 : x
  2. Step 2: Convert to fraction form
    12,986.21/19,472.40 = 6,730.72/x
  3. Step 3: Cross multiply
    12,986.21x = 19,472.40 × 6,730.72
  4. Step 4: Simplify right side
    12,986.21x = 131,063,223.45
  5. Step 5: Solve for x
    x = 131,063,223.45/12,986.21
  6. Step 6: Final answer
    x = 10,092.49

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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.