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Finding the Fourth Proportional to 18,223.60, 27,319.20 and 16,255.30

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Solution

The fourth proportional to 18,223.60, 27,319.20 and 16,255.30 is: 24,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.60 : 27,319.20 = 16,255.30 : x
  2. Step 2: Convert to fraction form
    18,223.60/27,319.20 = 16,255.30/x
  3. Step 3: Cross multiply
    18,223.60x = 27,319.20 × 16,255.30
  4. Step 4: Simplify right side
    18,223.60x = 444,081,791.76
  5. Step 5: Solve for x
    x = 444,081,791.76/18,223.60
  6. Step 6: Final answer
    x = 24,368.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.