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Finding the Fourth Proportional to 27,678.68, 41,518.16 and 6,902.18

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Solution

The fourth proportional to 27,678.68, 41,518.16 and 6,902.18 is: 10,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.68 : 41,518.16 = 6,902.18 : x
  2. Step 2: Convert to fraction form
    27,678.68/41,518.16 = 6,902.18/x
  3. Step 3: Cross multiply
    27,678.68x = 41,518.16 × 6,902.18
  4. Step 4: Simplify right side
    27,678.68x = 286,565,571.49
  5. Step 5: Solve for x
    x = 286,565,571.49/27,678.68
  6. Step 6: Final answer
    x = 10,353.30

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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.