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Finding the Fourth Proportional to 20,038.45, 30,024.69 and 6,883.60

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Solution

The fourth proportional to 20,038.45, 30,024.69 and 6,883.60 is: 10,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.45 : 30,024.69 = 6,883.60 : x
  2. Step 2: Convert to fraction form
    20,038.45/30,024.69 = 6,883.60/x
  3. Step 3: Cross multiply
    20,038.45x = 30,024.69 × 6,883.60
  4. Step 4: Simplify right side
    20,038.45x = 206,677,956.08
  5. Step 5: Solve for x
    x = 206,677,956.08/20,038.45
  6. Step 6: Final answer
    x = 10,314.07

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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.