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Finding the Fourth Proportional to 13,800.94, 19,045.31 and 8,211.94

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Solution

The fourth proportional to 13,800.94, 19,045.31 and 8,211.94 is: 11,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.94 : 19,045.31 = 8,211.94 : x
  2. Step 2: Convert to fraction form
    13,800.94/19,045.31 = 8,211.94/x
  3. Step 3: Cross multiply
    13,800.94x = 19,045.31 × 8,211.94
  4. Step 4: Simplify right side
    13,800.94x = 156,398,854.33
  5. Step 5: Solve for x
    x = 156,398,854.33/13,800.94
  6. Step 6: Final answer
    x = 11,332.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.