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Finding the Fourth Proportional to 27,096.40, 40,644.60 and 19,223.20

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Solution

The fourth proportional to 27,096.40, 40,644.60 and 19,223.20 is: 28,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096.40 : 40,644.60 = 19,223.20 : x
  2. Step 2: Convert to fraction form
    27,096.40/40,644.60 = 19,223.20/x
  3. Step 3: Cross multiply
    27,096.40x = 40,644.60 × 19,223.20
  4. Step 4: Simplify right side
    27,096.40x = 781,319,274.72
  5. Step 5: Solve for x
    x = 781,319,274.72/27,096.40
  6. Step 6: Final answer
    x = 28,834.80

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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.