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Finding the Fourth Proportional to 16,193.34, 24,290.10 and 4,506.57

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Solution

The fourth proportional to 16,193.34, 24,290.10 and 4,506.57 is: 6,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.34 : 24,290.10 = 4,506.57 : x
  2. Step 2: Convert to fraction form
    16,193.34/24,290.10 = 4,506.57/x
  3. Step 3: Cross multiply
    16,193.34x = 24,290.10 × 4,506.57
  4. Step 4: Simplify right side
    16,193.34x = 109,465,035.96
  5. Step 5: Solve for x
    x = 109,465,035.96/16,193.34
  6. Step 6: Final answer
    x = 6,759.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.