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Finding the Fourth Proportional to 14,092.96, 19,443.85 and 8,123.80

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Solution

The fourth proportional to 14,092.96, 19,443.85 and 8,123.80 is: 11,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.96 : 19,443.85 = 8,123.80 : x
  2. Step 2: Convert to fraction form
    14,092.96/19,443.85 = 8,123.80/x
  3. Step 3: Cross multiply
    14,092.96x = 19,443.85 × 8,123.80
  4. Step 4: Simplify right side
    14,092.96x = 157,957,948.63
  5. Step 5: Solve for x
    x = 157,957,948.63/14,092.96
  6. Step 6: Final answer
    x = 11,208.29

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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.