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Finding the Fourth Proportional to 11,443.96, 17,136.60 and 9,590.50

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Solution

The fourth proportional to 11,443.96, 17,136.60 and 9,590.50 is: 14,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.96 : 17,136.60 = 9,590.50 : x
  2. Step 2: Convert to fraction form
    11,443.96/17,136.60 = 9,590.50/x
  3. Step 3: Cross multiply
    11,443.96x = 17,136.60 × 9,590.50
  4. Step 4: Simplify right side
    11,443.96x = 164,348,562.30
  5. Step 5: Solve for x
    x = 164,348,562.30/11,443.96
  6. Step 6: Final answer
    x = 14,361.16

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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.