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Finding the Fourth Proportional to 20,430.14, 30,635.64 and 8,581.41

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Solution

The fourth proportional to 20,430.14, 30,635.64 and 8,581.41 is: 12,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.14 : 30,635.64 = 8,581.41 : x
  2. Step 2: Convert to fraction form
    20,430.14/30,635.64 = 8,581.41/x
  3. Step 3: Cross multiply
    20,430.14x = 30,635.64 × 8,581.41
  4. Step 4: Simplify right side
    20,430.14x = 262,896,987.45
  5. Step 5: Solve for x
    x = 262,896,987.45/20,430.14
  6. Step 6: Final answer
    x = 12,868.10

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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.