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Finding the Fourth Proportional to 14,832, 22,230.72 and 8,255.04

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Solution

The fourth proportional to 14,832, 22,230.72 and 8,255.04 is: 12,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832 : 22,230.72 = 8,255.04 : x
  2. Step 2: Convert to fraction form
    14,832/22,230.72 = 8,255.04/x
  3. Step 3: Cross multiply
    14,832x = 22,230.72 × 8,255.04
  4. Step 4: Simplify right side
    14,832x = 183,515,482.83
  5. Step 5: Solve for x
    x = 183,515,482.83/14,832
  6. Step 6: Final answer
    x = 12,372.94

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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.