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Finding the Fourth Proportional to 14,874.50, 22,311.75 and 5,640.50

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Solution

The fourth proportional to 14,874.50, 22,311.75 and 5,640.50 is: 8,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.50 : 22,311.75 = 5,640.50 : x
  2. Step 2: Convert to fraction form
    14,874.50/22,311.75 = 5,640.50/x
  3. Step 3: Cross multiply
    14,874.50x = 22,311.75 × 5,640.50
  4. Step 4: Simplify right side
    14,874.50x = 125,849,425.88
  5. Step 5: Solve for x
    x = 125,849,425.88/14,874.50
  6. Step 6: Final answer
    x = 8,460.75

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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.