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Finding the Fourth Proportional to 21,451.32, 29,597.67 and 16,421.22

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Solution

The fourth proportional to 21,451.32, 29,597.67 and 16,421.22 is: 22,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,451.32 : 29,597.67 = 16,421.22 : x
  2. Step 2: Convert to fraction form
    21,451.32/29,597.67 = 16,421.22/x
  3. Step 3: Cross multiply
    21,451.32x = 29,597.67 × 16,421.22
  4. Step 4: Simplify right side
    21,451.32x = 486,029,850.56
  5. Step 5: Solve for x
    x = 486,029,850.56/21,451.32
  6. Step 6: Final answer
    x = 22,657.34

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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.