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Finding the Fourth Proportional to 27,678.65, 41,518.13 and 6,902.15

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Solution

The fourth proportional to 27,678.65, 41,518.13 and 6,902.15 is: 10,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.65 : 41,518.13 = 6,902.15 : x
  2. Step 2: Convert to fraction form
    27,678.65/41,518.13 = 6,902.15/x
  3. Step 3: Cross multiply
    27,678.65x = 41,518.13 × 6,902.15
  4. Step 4: Simplify right side
    27,678.65x = 286,564,118.88
  5. Step 5: Solve for x
    x = 286,564,118.88/27,678.65
  6. Step 6: Final answer
    x = 10,353.26

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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.