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Finding the Fourth Proportional to 27,396.95, 41,070.74 and 9,854.46

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Solution

The fourth proportional to 27,396.95, 41,070.74 and 9,854.46 is: 14,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396.95 : 41,070.74 = 9,854.46 : x
  2. Step 2: Convert to fraction form
    27,396.95/41,070.74 = 9,854.46/x
  3. Step 3: Cross multiply
    27,396.95x = 41,070.74 × 9,854.46
  4. Step 4: Simplify right side
    27,396.95x = 404,729,915.23
  5. Step 5: Solve for x
    x = 404,729,915.23/27,396.95
  6. Step 6: Final answer
    x = 14,772.81

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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.