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Finding the Fourth Proportional to 11,652.46, 17,464.09 and 9,177.50

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Solution

The fourth proportional to 11,652.46, 17,464.09 and 9,177.50 is: 13,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.46 : 17,464.09 = 9,177.50 : x
  2. Step 2: Convert to fraction form
    11,652.46/17,464.09 = 9,177.50/x
  3. Step 3: Cross multiply
    11,652.46x = 17,464.09 × 9,177.50
  4. Step 4: Simplify right side
    11,652.46x = 160,276,685.98
  5. Step 5: Solve for x
    x = 160,276,685.98/11,652.46
  6. Step 6: Final answer
    x = 13,754.75

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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.