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Finding the Fourth Proportional to 19,385.20, 29,083.20 and 9,524.80

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Solution

The fourth proportional to 19,385.20, 29,083.20 and 9,524.80 is: 14,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,385.20 : 29,083.20 = 9,524.80 : x
  2. Step 2: Convert to fraction form
    19,385.20/29,083.20 = 9,524.80/x
  3. Step 3: Cross multiply
    19,385.20x = 29,083.20 × 9,524.80
  4. Step 4: Simplify right side
    19,385.20x = 277,011,663.36
  5. Step 5: Solve for x
    x = 277,011,663.36/19,385.20
  6. Step 6: Final answer
    x = 14,289.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.