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Finding the Fourth Proportional to 26,383.50, 36,409.24 and 14,283.98

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Solution

The fourth proportional to 26,383.50, 36,409.24 and 14,283.98 is: 19,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,383.50 : 36,409.24 = 14,283.98 : x
  2. Step 2: Convert to fraction form
    26,383.50/36,409.24 = 14,283.98/x
  3. Step 3: Cross multiply
    26,383.50x = 36,409.24 × 14,283.98
  4. Step 4: Simplify right side
    26,383.50x = 520,068,930.72
  5. Step 5: Solve for x
    x = 520,068,930.72/26,383.50
  6. Step 6: Final answer
    x = 19,711.90

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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.