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Finding the Fourth Proportional to 16,574.42, 24,861.63 and 13,646.58

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Solution

The fourth proportional to 16,574.42, 24,861.63 and 13,646.58 is: 20,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.42 : 24,861.63 = 13,646.58 : x
  2. Step 2: Convert to fraction form
    16,574.42/24,861.63 = 13,646.58/x
  3. Step 3: Cross multiply
    16,574.42x = 24,861.63 × 13,646.58
  4. Step 4: Simplify right side
    16,574.42x = 339,276,222.73
  5. Step 5: Solve for x
    x = 339,276,222.73/16,574.42
  6. Step 6: Final answer
    x = 20,469.87

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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.