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Finding the Fourth Proportional to 21,597, 29,816.82 and 14,157.96

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Solution

The fourth proportional to 21,597, 29,816.82 and 14,157.96 is: 19,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597 : 29,816.82 = 14,157.96 : x
  2. Step 2: Convert to fraction form
    21,597/29,816.82 = 14,157.96/x
  3. Step 3: Cross multiply
    21,597x = 29,816.82 × 14,157.96
  4. Step 4: Simplify right side
    21,597x = 422,145,344.89
  5. Step 5: Solve for x
    x = 422,145,344.89/21,597
  6. Step 6: Final answer
    x = 19,546.48

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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.