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Finding the Fourth Proportional to 15,817.36, 21,828 and 8,743.63

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Solution

The fourth proportional to 15,817.36, 21,828 and 8,743.63 is: 12,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.36 : 21,828 = 8,743.63 : x
  2. Step 2: Convert to fraction form
    15,817.36/21,828 = 8,743.63/x
  3. Step 3: Cross multiply
    15,817.36x = 21,828 × 8,743.63
  4. Step 4: Simplify right side
    15,817.36x = 190,855,955.64
  5. Step 5: Solve for x
    x = 190,855,955.64/15,817.36
  6. Step 6: Final answer
    x = 12,066.23

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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.