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Finding the Fourth Proportional to 18,676.13, 25,772.30 and 10,178.07

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Solution

The fourth proportional to 18,676.13, 25,772.30 and 10,178.07 is: 14,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,676.13 : 25,772.30 = 10,178.07 : x
  2. Step 2: Convert to fraction form
    18,676.13/25,772.30 = 10,178.07/x
  3. Step 3: Cross multiply
    18,676.13x = 25,772.30 × 10,178.07
  4. Step 4: Simplify right side
    18,676.13x = 262,312,273.46
  5. Step 5: Solve for x
    x = 262,312,273.46/18,676.13
  6. Step 6: Final answer
    x = 14,045.33

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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.