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Finding the Fourth Proportional to 15,052.56, 20,772.48 and 8,428.56

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Solution

The fourth proportional to 15,052.56, 20,772.48 and 8,428.56 is: 11,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,052.56 : 20,772.48 = 8,428.56 : x
  2. Step 2: Convert to fraction form
    15,052.56/20,772.48 = 8,428.56/x
  3. Step 3: Cross multiply
    15,052.56x = 20,772.48 × 8,428.56
  4. Step 4: Simplify right side
    15,052.56x = 175,082,094.03
  5. Step 5: Solve for x
    x = 175,082,094.03/15,052.56
  6. Step 6: Final answer
    x = 11,631.38

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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.