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Finding the Fourth Proportional to 19,814, 29,682.08 and 9,924.08

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Solution

The fourth proportional to 19,814, 29,682.08 and 9,924.08 is: 14,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814 : 29,682.08 = 9,924.08 : x
  2. Step 2: Convert to fraction form
    19,814/29,682.08 = 9,924.08/x
  3. Step 3: Cross multiply
    19,814x = 29,682.08 × 9,924.08
  4. Step 4: Simplify right side
    19,814x = 294,567,336.49
  5. Step 5: Solve for x
    x = 294,567,336.49/19,814
  6. Step 6: Final answer
    x = 14,866.63

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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.