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Finding the Fourth Proportional to 18,235.67, 27,337.10 and 6,546.16

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Solution

The fourth proportional to 18,235.67, 27,337.10 and 6,546.16 is: 9,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235.67 : 27,337.10 = 6,546.16 : x
  2. Step 2: Convert to fraction form
    18,235.67/27,337.10 = 6,546.16/x
  3. Step 3: Cross multiply
    18,235.67x = 27,337.10 × 6,546.16
  4. Step 4: Simplify right side
    18,235.67x = 178,953,030.54
  5. Step 5: Solve for x
    x = 178,953,030.54/18,235.67
  6. Step 6: Final answer
    x = 9,813.35

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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.