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Finding the Fourth Proportional to 16,442.78, 24,668.10 and 4,755.68

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Solution

The fourth proportional to 16,442.78, 24,668.10 and 4,755.68 is: 7,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.78 : 24,668.10 = 4,755.68 : x
  2. Step 2: Convert to fraction form
    16,442.78/24,668.10 = 4,755.68/x
  3. Step 3: Cross multiply
    16,442.78x = 24,668.10 × 4,755.68
  4. Step 4: Simplify right side
    16,442.78x = 117,313,589.81
  5. Step 5: Solve for x
    x = 117,313,589.81/16,442.78
  6. Step 6: Final answer
    x = 7,134.66

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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.