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Finding the Fourth Proportional to 20,575.50, 28,400.67 and 13,123.50

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Solution

The fourth proportional to 20,575.50, 28,400.67 and 13,123.50 is: 18,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.50 : 28,400.67 = 13,123.50 : x
  2. Step 2: Convert to fraction form
    20,575.50/28,400.67 = 13,123.50/x
  3. Step 3: Cross multiply
    20,575.50x = 28,400.67 × 13,123.50
  4. Step 4: Simplify right side
    20,575.50x = 372,716,192.75
  5. Step 5: Solve for x
    x = 372,716,192.75/20,575.50
  6. Step 6: Final answer
    x = 18,114.56

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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.