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Finding the Fourth Proportional to 13,192.60, 18,205.78 and 7,887.40

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Solution

The fourth proportional to 13,192.60, 18,205.78 and 7,887.40 is: 10,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.60 : 18,205.78 = 7,887.40 : x
  2. Step 2: Convert to fraction form
    13,192.60/18,205.78 = 7,887.40/x
  3. Step 3: Cross multiply
    13,192.60x = 18,205.78 × 7,887.40
  4. Step 4: Simplify right side
    13,192.60x = 143,596,269.17
  5. Step 5: Solve for x
    x = 143,596,269.17/13,192.60
  6. Step 6: Final answer
    x = 10,884.61

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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.