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Finding the Fourth Proportional to 20,422.84, 30,495.92 and 16,215.64

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Solution

The fourth proportional to 20,422.84, 30,495.92 and 16,215.64 is: 24,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.84 : 30,495.92 = 16,215.64 : x
  2. Step 2: Convert to fraction form
    20,422.84/30,495.92 = 16,215.64/x
  3. Step 3: Cross multiply
    20,422.84x = 30,495.92 × 16,215.64
  4. Step 4: Simplify right side
    20,422.84x = 494,510,860.19
  5. Step 5: Solve for x
    x = 494,510,860.19/20,422.84
  6. Step 6: Final answer
    x = 24,213.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.