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Finding the Fourth Proportional to 16,446.53, 24,673.83 and 4,760.93

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Solution

The fourth proportional to 16,446.53, 24,673.83 and 4,760.93 is: 7,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.53 : 24,673.83 = 4,760.93 : x
  2. Step 2: Convert to fraction form
    16,446.53/24,673.83 = 4,760.93/x
  3. Step 3: Cross multiply
    16,446.53x = 24,673.83 × 4,760.93
  4. Step 4: Simplify right side
    16,446.53x = 117,470,254.09
  5. Step 5: Solve for x
    x = 117,470,254.09/16,446.53
  6. Step 6: Final answer
    x = 7,142.56

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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.