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Finding the Fourth Proportional to 27,615.42, 41,416.14 and 7,894.08

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Solution

The fourth proportional to 27,615.42, 41,416.14 and 7,894.08 is: 11,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.42 : 41,416.14 = 7,894.08 : x
  2. Step 2: Convert to fraction form
    27,615.42/41,416.14 = 7,894.08/x
  3. Step 3: Cross multiply
    27,615.42x = 41,416.14 × 7,894.08
  4. Step 4: Simplify right side
    27,615.42x = 326,942,322.45
  5. Step 5: Solve for x
    x = 326,942,322.45/27,615.42
  6. Step 6: Final answer
    x = 11,839.12

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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.