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Finding the Fourth Proportional to 19,847.82, 27,302.90 and 16,600.16

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Solution

The fourth proportional to 19,847.82, 27,302.90 and 16,600.16 is: 22,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.82 : 27,302.90 = 16,600.16 : x
  2. Step 2: Convert to fraction form
    19,847.82/27,302.90 = 16,600.16/x
  3. Step 3: Cross multiply
    19,847.82x = 27,302.90 × 16,600.16
  4. Step 4: Simplify right side
    19,847.82x = 453,232,508.46
  5. Step 5: Solve for x
    x = 453,232,508.46/19,847.82
  6. Step 6: Final answer
    x = 22,835.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.