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Finding the Fourth Proportional to 13,182.36, 18,190.89 and 7,877.13

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Solution

The fourth proportional to 13,182.36, 18,190.89 and 7,877.13 is: 10,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.36 : 18,190.89 = 7,877.13 : x
  2. Step 2: Convert to fraction form
    13,182.36/18,190.89 = 7,877.13/x
  3. Step 3: Cross multiply
    13,182.36x = 18,190.89 × 7,877.13
  4. Step 4: Simplify right side
    13,182.36x = 143,292,005.35
  5. Step 5: Solve for x
    x = 143,292,005.35/13,182.36
  6. Step 6: Final answer
    x = 10,869.98

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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.