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Finding the Fourth Proportional to 27,597.68, 41,396.04 and 6,820.88

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Solution

The fourth proportional to 27,597.68, 41,396.04 and 6,820.88 is: 10,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.68 : 41,396.04 = 6,820.88 : x
  2. Step 2: Convert to fraction form
    27,597.68/41,396.04 = 6,820.88/x
  3. Step 3: Cross multiply
    27,597.68x = 41,396.04 × 6,820.88
  4. Step 4: Simplify right side
    27,597.68x = 282,357,421.32
  5. Step 5: Solve for x
    x = 282,357,421.32/27,597.68
  6. Step 6: Final answer
    x = 10,231.20

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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.