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Finding the Fourth Proportional to 14,231.68, 19,638.23 and 8,262.19

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Solution

The fourth proportional to 14,231.68, 19,638.23 and 8,262.19 is: 11,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.68 : 19,638.23 = 8,262.19 : x
  2. Step 2: Convert to fraction form
    14,231.68/19,638.23 = 8,262.19/x
  3. Step 3: Cross multiply
    14,231.68x = 19,638.23 × 8,262.19
  4. Step 4: Simplify right side
    14,231.68x = 162,254,787.52
  5. Step 5: Solve for x
    x = 162,254,787.52/14,231.68
  6. Step 6: Final answer
    x = 11,400.96

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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.