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Finding the Fourth Proportional to 16,442.63, 24,665.30 and 7,082.87

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Solution

The fourth proportional to 16,442.63, 24,665.30 and 7,082.87 is: 10,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.63 : 24,665.30 = 7,082.87 : x
  2. Step 2: Convert to fraction form
    16,442.63/24,665.30 = 7,082.87/x
  3. Step 3: Cross multiply
    16,442.63x = 24,665.30 × 7,082.87
  4. Step 4: Simplify right side
    16,442.63x = 174,701,078.00
  5. Step 5: Solve for x
    x = 174,701,078.00/16,442.63
  6. Step 6: Final answer
    x = 10,624.89

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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.