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Finding the Fourth Proportional to 20,596.60, 30,875.70 and 16,151.80

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Solution

The fourth proportional to 20,596.60, 30,875.70 and 16,151.80 is: 24,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.60 : 30,875.70 = 16,151.80 : x
  2. Step 2: Convert to fraction form
    20,596.60/30,875.70 = 16,151.80/x
  3. Step 3: Cross multiply
    20,596.60x = 30,875.70 × 16,151.80
  4. Step 4: Simplify right side
    20,596.60x = 498,698,131.26
  5. Step 5: Solve for x
    x = 498,698,131.26/20,596.60
  6. Step 6: Final answer
    x = 24,212.64

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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.