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Finding the Fourth Proportional to 16,434.56, 24,651.68 and 4,747.68

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Solution

The fourth proportional to 16,434.56, 24,651.68 and 4,747.68 is: 7,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.56 : 24,651.68 = 4,747.68 : x
  2. Step 2: Convert to fraction form
    16,434.56/24,651.68 = 4,747.68/x
  3. Step 3: Cross multiply
    16,434.56x = 24,651.68 × 4,747.68
  4. Step 4: Simplify right side
    16,434.56x = 117,038,288.10
  5. Step 5: Solve for x
    x = 117,038,288.10/16,434.56
  6. Step 6: Final answer
    x = 7,121.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.