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Finding the Fourth Proportional to 13,862.82, 19,111.46 and 9,379.46

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Solution

The fourth proportional to 13,862.82, 19,111.46 and 9,379.46 is: 12,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.82 : 19,111.46 = 9,379.46 : x
  2. Step 2: Convert to fraction form
    13,862.82/19,111.46 = 9,379.46/x
  3. Step 3: Cross multiply
    13,862.82x = 19,111.46 × 9,379.46
  4. Step 4: Simplify right side
    13,862.82x = 179,255,174.61
  5. Step 5: Solve for x
    x = 179,255,174.61/13,862.82
  6. Step 6: Final answer
    x = 12,930.64

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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.