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Finding the Fourth Proportional to 13,185.92, 18,201.52 and 7,878.80

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Solution

The fourth proportional to 13,185.92, 18,201.52 and 7,878.80 is: 10,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.92 : 18,201.52 = 7,878.80 : x
  2. Step 2: Convert to fraction form
    13,185.92/18,201.52 = 7,878.80/x
  3. Step 3: Cross multiply
    13,185.92x = 18,201.52 × 7,878.80
  4. Step 4: Simplify right side
    13,185.92x = 143,406,135.78
  5. Step 5: Solve for x
    x = 143,406,135.78/13,185.92
  6. Step 6: Final answer
    x = 10,875.70

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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.