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Finding the Fourth Proportional to 16,609.34, 24,909.74 and 4,919.82

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Solution

The fourth proportional to 16,609.34, 24,909.74 and 4,919.82 is: 7,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609.34 : 24,909.74 = 4,919.82 : x
  2. Step 2: Convert to fraction form
    16,609.34/24,909.74 = 4,919.82/x
  3. Step 3: Cross multiply
    16,609.34x = 24,909.74 × 4,919.82
  4. Step 4: Simplify right side
    16,609.34x = 122,551,412.45
  5. Step 5: Solve for x
    x = 122,551,412.45/16,609.34
  6. Step 6: Final answer
    x = 7,378.47

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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.