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Finding the Fourth Proportional to 20,407.48, 30,582.50 and 16,228.92

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Solution

The fourth proportional to 20,407.48, 30,582.50 and 16,228.92 is: 24,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.48 : 30,582.50 = 16,228.92 : x
  2. Step 2: Convert to fraction form
    20,407.48/30,582.50 = 16,228.92/x
  3. Step 3: Cross multiply
    20,407.48x = 30,582.50 × 16,228.92
  4. Step 4: Simplify right side
    20,407.48x = 496,320,945.90
  5. Step 5: Solve for x
    x = 496,320,945.90/20,407.48
  6. Step 6: Final answer
    x = 24,320.54

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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.