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Finding the Fourth Proportional to 11,564.67, 17,381.03 and 9,602.90

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Solution

The fourth proportional to 11,564.67, 17,381.03 and 9,602.90 is: 14,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.67 : 17,381.03 = 9,602.90 : x
  2. Step 2: Convert to fraction form
    11,564.67/17,381.03 = 9,602.90/x
  3. Step 3: Cross multiply
    11,564.67x = 17,381.03 × 9,602.90
  4. Step 4: Simplify right side
    11,564.67x = 166,908,375.03
  5. Step 5: Solve for x
    x = 166,908,375.03/11,564.67
  6. Step 6: Final answer
    x = 14,432.61

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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.