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Finding the Fourth Proportional to 14,201.83, 19,598.54 and 8,236.96

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Solution

The fourth proportional to 14,201.83, 19,598.54 and 8,236.96 is: 11,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.83 : 19,598.54 = 8,236.96 : x
  2. Step 2: Convert to fraction form
    14,201.83/19,598.54 = 8,236.96/x
  3. Step 3: Cross multiply
    14,201.83x = 19,598.54 × 8,236.96
  4. Step 4: Simplify right side
    14,201.83x = 161,432,390.04
  5. Step 5: Solve for x
    x = 161,432,390.04/14,201.83
  6. Step 6: Final answer
    x = 11,367.01

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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.