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Finding the Fourth Proportional to 20,038.86, 30,065.85 and 12,635.10

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Solution

The fourth proportional to 20,038.86, 30,065.85 and 12,635.10 is: 18,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.86 : 30,065.85 = 12,635.10 : x
  2. Step 2: Convert to fraction form
    20,038.86/30,065.85 = 12,635.10/x
  3. Step 3: Cross multiply
    20,038.86x = 30,065.85 × 12,635.10
  4. Step 4: Simplify right side
    20,038.86x = 379,885,021.34
  5. Step 5: Solve for x
    x = 379,885,021.34/20,038.86
  6. Step 6: Final answer
    x = 18,957.42

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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.