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Finding the Fourth Proportional to 27,624.32, 41,436.12 and 7,902.80

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Solution

The fourth proportional to 27,624.32, 41,436.12 and 7,902.80 is: 11,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.32 : 41,436.12 = 7,902.80 : x
  2. Step 2: Convert to fraction form
    27,624.32/41,436.12 = 7,902.80/x
  3. Step 3: Cross multiply
    27,624.32x = 41,436.12 × 7,902.80
  4. Step 4: Simplify right side
    27,624.32x = 327,461,369.14
  5. Step 5: Solve for x
    x = 327,461,369.14/27,624.32
  6. Step 6: Final answer
    x = 11,854.10

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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.