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Finding the Fourth Proportional to 13,136.60, 19,693.80 and 6,112.98

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Solution

The fourth proportional to 13,136.60, 19,693.80 and 6,112.98 is: 9,164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.60 : 19,693.80 = 6,112.98 : x
  2. Step 2: Convert to fraction form
    13,136.60/19,693.80 = 6,112.98/x
  3. Step 3: Cross multiply
    13,136.60x = 19,693.80 × 6,112.98
  4. Step 4: Simplify right side
    13,136.60x = 120,387,805.52
  5. Step 5: Solve for x
    x = 120,387,805.52/13,136.60
  6. Step 6: Final answer
    x = 9,164.30

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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.