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Finding the Fourth Proportional to 19,659, 29,493.50 and 5,808

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Solution

The fourth proportional to 19,659, 29,493.50 and 5,808 is: 8,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659 : 29,493.50 = 5,808 : x
  2. Step 2: Convert to fraction form
    19,659/29,493.50 = 5,808/x
  3. Step 3: Cross multiply
    19,659x = 29,493.50 × 5,808
  4. Step 4: Simplify right side
    19,659x = 171,298,218.96
  5. Step 5: Solve for x
    x = 171,298,218.96/19,659
  6. Step 6: Final answer
    x = 8,713.48

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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.