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Finding the Fourth Proportional to 19,385.20, 29,005.80 and 14,201.20

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Solution

The fourth proportional to 19,385.20, 29,005.80 and 14,201.20 is: 21,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,385.20 : 29,005.80 = 14,201.20 : x
  2. Step 2: Convert to fraction form
    19,385.20/29,005.80 = 14,201.20/x
  3. Step 3: Cross multiply
    19,385.20x = 29,005.80 × 14,201.20
  4. Step 4: Simplify right side
    19,385.20x = 411,917,166.96
  5. Step 5: Solve for x
    x = 411,917,166.96/19,385.20
  6. Step 6: Final answer
    x = 21,249.05

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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.