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Finding the Fourth Proportional to 17,136.64, 23,648.40 and 9,583

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Solution

The fourth proportional to 17,136.64, 23,648.40 and 9,583 is: 13,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,136.64 : 23,648.40 = 9,583 : x
  2. Step 2: Convert to fraction form
    17,136.64/23,648.40 = 9,583/x
  3. Step 3: Cross multiply
    17,136.64x = 23,648.40 × 9,583
  4. Step 4: Simplify right side
    17,136.64x = 226,622,617.20
  5. Step 5: Solve for x
    x = 226,622,617.20/17,136.64
  6. Step 6: Final answer
    x = 13,224.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.