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Finding the Fourth Proportional to 13,136.10, 18,129.60 and 7,830.60

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Solution

The fourth proportional to 13,136.10, 18,129.60 and 7,830.60 is: 10,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.10 : 18,129.60 = 7,830.60 : x
  2. Step 2: Convert to fraction form
    13,136.10/18,129.60 = 7,830.60/x
  3. Step 3: Cross multiply
    13,136.10x = 18,129.60 × 7,830.60
  4. Step 4: Simplify right side
    13,136.10x = 141,965,645.76
  5. Step 5: Solve for x
    x = 141,965,645.76/13,136.10
  6. Step 6: Final answer
    x = 10,807.29

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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.