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Finding the Fourth Proportional to 27,225.42, 40,839.18 and 7,505.52

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Solution

The fourth proportional to 27,225.42, 40,839.18 and 7,505.52 is: 11,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225.42 : 40,839.18 = 7,505.52 : x
  2. Step 2: Convert to fraction form
    27,225.42/40,839.18 = 7,505.52/x
  3. Step 3: Cross multiply
    27,225.42x = 40,839.18 × 7,505.52
  4. Step 4: Simplify right side
    27,225.42x = 306,519,282.27
  5. Step 5: Solve for x
    x = 306,519,282.27/27,225.42
  6. Step 6: Final answer
    x = 11,258.57

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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.