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Finding the Fourth Proportional to 16,634.96, 24,955 and 5,537.84

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Solution

The fourth proportional to 16,634.96, 24,955 and 5,537.84 is: 8,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.96 : 24,955 = 5,537.84 : x
  2. Step 2: Convert to fraction form
    16,634.96/24,955 = 5,537.84/x
  3. Step 3: Cross multiply
    16,634.96x = 24,955 × 5,537.84
  4. Step 4: Simplify right side
    16,634.96x = 138,196,797.20
  5. Step 5: Solve for x
    x = 138,196,797.20/16,634.96
  6. Step 6: Final answer
    x = 8,307.61

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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.