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Finding the Fourth Proportional to 27,225.63, 40,838.46 and 7,505.73

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Solution

The fourth proportional to 27,225.63, 40,838.46 and 7,505.73 is: 11,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225.63 : 40,838.46 = 7,505.73 : x
  2. Step 2: Convert to fraction form
    27,225.63/40,838.46 = 7,505.73/x
  3. Step 3: Cross multiply
    27,225.63x = 40,838.46 × 7,505.73
  4. Step 4: Simplify right side
    27,225.63x = 306,522,454.38
  5. Step 5: Solve for x
    x = 306,522,454.38/27,225.63
  6. Step 6: Final answer
    x = 11,258.60

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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.