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Finding the Fourth Proportional to 18,420.12, 27,607.08 and 7,877.76

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Solution

The fourth proportional to 18,420.12, 27,607.08 and 7,877.76 is: 11,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,420.12 : 27,607.08 = 7,877.76 : x
  2. Step 2: Convert to fraction form
    18,420.12/27,607.08 = 7,877.76/x
  3. Step 3: Cross multiply
    18,420.12x = 27,607.08 × 7,877.76
  4. Step 4: Simplify right side
    18,420.12x = 217,481,950.54
  5. Step 5: Solve for x
    x = 217,481,950.54/18,420.12
  6. Step 6: Final answer
    x = 11,806.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.