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Finding the Fourth Proportional to 27,098.70, 40,611.60 and 19,298.40

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Solution

The fourth proportional to 27,098.70, 40,611.60 and 19,298.40 is: 28,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098.70 : 40,611.60 = 19,298.40 : x
  2. Step 2: Convert to fraction form
    27,098.70/40,611.60 = 19,298.40/x
  3. Step 3: Cross multiply
    27,098.70x = 40,611.60 × 19,298.40
  4. Step 4: Simplify right side
    27,098.70x = 783,738,901.44
  5. Step 5: Solve for x
    x = 783,738,901.44/27,098.70
  6. Step 6: Final answer
    x = 28,921.64

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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.