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Finding the Fourth Proportional to 20,024.32, 30,010.80 and 8,323.60

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Solution

The fourth proportional to 20,024.32, 30,010.80 and 8,323.60 is: 12,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024.32 : 30,010.80 = 8,323.60 : x
  2. Step 2: Convert to fraction form
    20,024.32/30,010.80 = 8,323.60/x
  3. Step 3: Cross multiply
    20,024.32x = 30,010.80 × 8,323.60
  4. Step 4: Simplify right side
    20,024.32x = 249,797,894.88
  5. Step 5: Solve for x
    x = 249,797,894.88/20,024.32
  6. Step 6: Final answer
    x = 12,474.73

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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.