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Finding the Fourth Proportional to 43,605.76, 65,409.24 and 12,441

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Solution

The fourth proportional to 43,605.76, 65,409.24 and 12,441 is: 18,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,605.76 : 65,409.24 = 12,441 : x
  2. Step 2: Convert to fraction form
    43,605.76/65,409.24 = 12,441/x
  3. Step 3: Cross multiply
    43,605.76x = 65,409.24 × 12,441
  4. Step 4: Simplify right side
    43,605.76x = 813,756,354.84
  5. Step 5: Solve for x
    x = 813,756,354.84/43,605.76
  6. Step 6: Final answer
    x = 18,661.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.