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Finding the Fourth Proportional to 12,906.96, 19,347.48 and 6,738

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Solution

The fourth proportional to 12,906.96, 19,347.48 and 6,738 is: 10,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.96 : 19,347.48 = 6,738 : x
  2. Step 2: Convert to fraction form
    12,906.96/19,347.48 = 6,738/x
  3. Step 3: Cross multiply
    12,906.96x = 19,347.48 × 6,738
  4. Step 4: Simplify right side
    12,906.96x = 130,363,320.24
  5. Step 5: Solve for x
    x = 130,363,320.24/12,906.96
  6. Step 6: Final answer
    x = 10,100.23

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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.