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Finding the Fourth Proportional to 21,287.64, 29,383.76 and 13,734.19

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Solution

The fourth proportional to 21,287.64, 29,383.76 and 13,734.19 is: 18,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,287.64 : 29,383.76 = 13,734.19 : x
  2. Step 2: Convert to fraction form
    21,287.64/29,383.76 = 13,734.19/x
  3. Step 3: Cross multiply
    21,287.64x = 29,383.76 × 13,734.19
  4. Step 4: Simplify right side
    21,287.64x = 403,561,927.16
  5. Step 5: Solve for x
    x = 403,561,927.16/21,287.64
  6. Step 6: Final answer
    x = 18,957.57

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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.