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Finding the Fourth Proportional to 20,509.84, 28,299.58 and 12,546.43

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Solution

The fourth proportional to 20,509.84, 28,299.58 and 12,546.43 is: 17,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.84 : 28,299.58 = 12,546.43 : x
  2. Step 2: Convert to fraction form
    20,509.84/28,299.58 = 12,546.43/x
  3. Step 3: Cross multiply
    20,509.84x = 28,299.58 × 12,546.43
  4. Step 4: Simplify right side
    20,509.84x = 355,058,597.38
  5. Step 5: Solve for x
    x = 355,058,597.38/20,509.84
  6. Step 6: Final answer
    x = 17,311.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.