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Finding the Fourth Proportional to 12,771.70, 19,116.51 and 6,833.77

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Solution

The fourth proportional to 12,771.70, 19,116.51 and 6,833.77 is: 10,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.70 : 19,116.51 = 6,833.77 : x
  2. Step 2: Convert to fraction form
    12,771.70/19,116.51 = 6,833.77/x
  3. Step 3: Cross multiply
    12,771.70x = 19,116.51 × 6,833.77
  4. Step 4: Simplify right side
    12,771.70x = 130,637,832.54
  5. Step 5: Solve for x
    x = 130,637,832.54/12,771.70
  6. Step 6: Final answer
    x = 10,228.70

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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.