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Finding the Fourth Proportional to 12,009.56, 16,573.46 and 7,533.50

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Solution

The fourth proportional to 12,009.56, 16,573.46 and 7,533.50 is: 10,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.56 : 16,573.46 = 7,533.50 : x
  2. Step 2: Convert to fraction form
    12,009.56/16,573.46 = 7,533.50/x
  3. Step 3: Cross multiply
    12,009.56x = 16,573.46 × 7,533.50
  4. Step 4: Simplify right side
    12,009.56x = 124,856,040.38
  5. Step 5: Solve for x
    x = 124,856,040.38/12,009.56
  6. Step 6: Final answer
    x = 10,396.39

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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.