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Finding the Fourth Proportional to 23,136.30, 34,740.90 and 13,294.80

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Solution

The fourth proportional to 23,136.30, 34,740.90 and 13,294.80 is: 19,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.30 : 34,740.90 = 13,294.80 : x
  2. Step 2: Convert to fraction form
    23,136.30/34,740.90 = 13,294.80/x
  3. Step 3: Cross multiply
    23,136.30x = 34,740.90 × 13,294.80
  4. Step 4: Simplify right side
    23,136.30x = 461,873,317.32
  5. Step 5: Solve for x
    x = 461,873,317.32/23,136.30
  6. Step 6: Final answer
    x = 19,963.15

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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.