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Finding the Fourth Proportional to 15,338.22, 21,157.71 and 9,662.96

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Solution

The fourth proportional to 15,338.22, 21,157.71 and 9,662.96 is: 13,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.22 : 21,157.71 = 9,662.96 : x
  2. Step 2: Convert to fraction form
    15,338.22/21,157.71 = 9,662.96/x
  3. Step 3: Cross multiply
    15,338.22x = 21,157.71 × 9,662.96
  4. Step 4: Simplify right side
    15,338.22x = 204,445,999.63
  5. Step 5: Solve for x
    x = 204,445,999.63/15,338.22
  6. Step 6: Final answer
    x = 13,329.19

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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.