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Finding the Fourth Proportional to 15,817.92, 21,826.40 and 9,012

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Solution

The fourth proportional to 15,817.92, 21,826.40 and 9,012 is: 12,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.92 : 21,826.40 = 9,012 : x
  2. Step 2: Convert to fraction form
    15,817.92/21,826.40 = 9,012/x
  3. Step 3: Cross multiply
    15,817.92x = 21,826.40 × 9,012
  4. Step 4: Simplify right side
    15,817.92x = 196,699,516.80
  5. Step 5: Solve for x
    x = 196,699,516.80/15,817.92
  6. Step 6: Final answer
    x = 12,435.23

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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.