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Finding the Fourth Proportional to 16,289.63, 24,418.83 and 5,189.12

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Solution

The fourth proportional to 16,289.63, 24,418.83 and 5,189.12 is: 7,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.63 : 24,418.83 = 5,189.12 : x
  2. Step 2: Convert to fraction form
    16,289.63/24,418.83 = 5,189.12/x
  3. Step 3: Cross multiply
    16,289.63x = 24,418.83 × 5,189.12
  4. Step 4: Simplify right side
    16,289.63x = 126,712,117.04
  5. Step 5: Solve for x
    x = 126,712,117.04/16,289.63
  6. Step 6: Final answer
    x = 7,778.70

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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.