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Finding the Fourth Proportional to 15,817.32, 21,826.81 and 8,743.19

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Solution

The fourth proportional to 15,817.32, 21,826.81 and 8,743.19 is: 12,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.32 : 21,826.81 = 8,743.19 : x
  2. Step 2: Convert to fraction form
    15,817.32/21,826.81 = 8,743.19/x
  3. Step 3: Cross multiply
    15,817.32x = 21,826.81 × 8,743.19
  4. Step 4: Simplify right side
    15,817.32x = 190,835,870.50
  5. Step 5: Solve for x
    x = 190,835,870.50/15,817.32
  6. Step 6: Final answer
    x = 12,064.99

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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.