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Finding the Fourth Proportional to 15,059.15, 22,576 and 9,500.28

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Solution

The fourth proportional to 15,059.15, 22,576 and 9,500.28 is: 14,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,059.15 : 22,576 = 9,500.28 : x
  2. Step 2: Convert to fraction form
    15,059.15/22,576 = 9,500.28/x
  3. Step 3: Cross multiply
    15,059.15x = 22,576 × 9,500.28
  4. Step 4: Simplify right side
    15,059.15x = 214,478,321.28
  5. Step 5: Solve for x
    x = 214,478,321.28/15,059.15
  6. Step 6: Final answer
    x = 14,242.39

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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.