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Finding the Fourth Proportional to 21,400.72, 29,534.16 and 11,969.08

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Solution

The fourth proportional to 21,400.72, 29,534.16 and 11,969.08 is: 16,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.72 : 29,534.16 = 11,969.08 : x
  2. Step 2: Convert to fraction form
    21,400.72/29,534.16 = 11,969.08/x
  3. Step 3: Cross multiply
    21,400.72x = 29,534.16 × 11,969.08
  4. Step 4: Simplify right side
    21,400.72x = 353,496,723.77
  5. Step 5: Solve for x
    x = 353,496,723.77/21,400.72
  6. Step 6: Final answer
    x = 16,517.98

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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.