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Finding the Fourth Proportional to 20,548.98, 28,357.11 and 11,596.23

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Solution

The fourth proportional to 20,548.98, 28,357.11 and 11,596.23 is: 16,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.98 : 28,357.11 = 11,596.23 : x
  2. Step 2: Convert to fraction form
    20,548.98/28,357.11 = 11,596.23/x
  3. Step 3: Cross multiply
    20,548.98x = 28,357.11 × 11,596.23
  4. Step 4: Simplify right side
    20,548.98x = 328,835,569.70
  5. Step 5: Solve for x
    x = 328,835,569.70/20,548.98
  6. Step 6: Final answer
    x = 16,002.53

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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.