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Finding the Fourth Proportional to 20,939.80, 28,897.50 and 11,509.24

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Solution

The fourth proportional to 20,939.80, 28,897.50 and 11,509.24 is: 15,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,939.80 : 28,897.50 = 11,509.24 : x
  2. Step 2: Convert to fraction form
    20,939.80/28,897.50 = 11,509.24/x
  3. Step 3: Cross multiply
    20,939.80x = 28,897.50 × 11,509.24
  4. Step 4: Simplify right side
    20,939.80x = 332,588,262.90
  5. Step 5: Solve for x
    x = 332,588,262.90/20,939.80
  6. Step 6: Final answer
    x = 15,883.07

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