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Finding the Fourth Proportional to 12,771.83, 19,160.98 and 4,006.82

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Solution

The fourth proportional to 12,771.83, 19,160.98 and 4,006.82 is: 6,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.83 : 19,160.98 = 4,006.82 : x
  2. Step 2: Convert to fraction form
    12,771.83/19,160.98 = 4,006.82/x
  3. Step 3: Cross multiply
    12,771.83x = 19,160.98 × 4,006.82
  4. Step 4: Simplify right side
    12,771.83x = 76,774,502.08
  5. Step 5: Solve for x
    x = 76,774,502.08/12,771.83
  6. Step 6: Final answer
    x = 6,011.24

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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.