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Finding the Fourth Proportional to 21,604, 29,826.48 and 14,164.96

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Solution

The fourth proportional to 21,604, 29,826.48 and 14,164.96 is: 19,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,604 : 29,826.48 = 14,164.96 : x
  2. Step 2: Convert to fraction form
    21,604/29,826.48 = 14,164.96/x
  3. Step 3: Cross multiply
    21,604x = 29,826.48 × 14,164.96
  4. Step 4: Simplify right side
    21,604x = 422,490,896.14
  5. Step 5: Solve for x
    x = 422,490,896.14/21,604
  6. Step 6: Final answer
    x = 19,556.14

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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.