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Finding the Fourth Proportional to 21,672.36, 29,911.86 and 13,709.16

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Solution

The fourth proportional to 21,672.36, 29,911.86 and 13,709.16 is: 18,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.36 : 29,911.86 = 13,709.16 : x
  2. Step 2: Convert to fraction form
    21,672.36/29,911.86 = 13,709.16/x
  3. Step 3: Cross multiply
    21,672.36x = 29,911.86 × 13,709.16
  4. Step 4: Simplify right side
    21,672.36x = 410,066,474.64
  5. Step 5: Solve for x
    x = 410,066,474.64/21,672.36
  6. Step 6: Final answer
    x = 18,921.17

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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.