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Finding the Fourth Proportional to 11,446.64, 17,146.87 and 9,592.55

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Solution

The fourth proportional to 11,446.64, 17,146.87 and 9,592.55 is: 14,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.64 : 17,146.87 = 9,592.55 : x
  2. Step 2: Convert to fraction form
    11,446.64/17,146.87 = 9,592.55/x
  3. Step 3: Cross multiply
    11,446.64x = 17,146.87 × 9,592.55
  4. Step 4: Simplify right side
    11,446.64x = 164,482,207.82
  5. Step 5: Solve for x
    x = 164,482,207.82/11,446.64
  6. Step 6: Final answer
    x = 14,369.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.