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Finding the Fourth Proportional to 21,400.99, 32,109.05 and 9,553.66

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Solution

The fourth proportional to 21,400.99, 32,109.05 and 9,553.66 is: 14,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.99 : 32,109.05 = 9,553.66 : x
  2. Step 2: Convert to fraction form
    21,400.99/32,109.05 = 9,553.66/x
  3. Step 3: Cross multiply
    21,400.99x = 32,109.05 × 9,553.66
  4. Step 4: Simplify right side
    21,400.99x = 306,758,890.23
  5. Step 5: Solve for x
    x = 306,758,890.23/21,400.99
  6. Step 6: Final answer
    x = 14,333.87

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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.