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Finding the Fourth Proportional to 21,842.63, 32,763.94 and 5,426.63

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Solution

The fourth proportional to 21,842.63, 32,763.94 and 5,426.63 is: 8,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.63 : 32,763.94 = 5,426.63 : x
  2. Step 2: Convert to fraction form
    21,842.63/32,763.94 = 5,426.63/x
  3. Step 3: Cross multiply
    21,842.63x = 32,763.94 × 5,426.63
  4. Step 4: Simplify right side
    21,842.63x = 177,797,779.72
  5. Step 5: Solve for x
    x = 177,797,779.72/21,842.63
  6. Step 6: Final answer
    x = 8,139.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.