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Finding the Fourth Proportional to 14,852.27, 22,279.08 and 8,273.50

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Solution

The fourth proportional to 14,852.27, 22,279.08 and 8,273.50 is: 12,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.27 : 22,279.08 = 8,273.50 : x
  2. Step 2: Convert to fraction form
    14,852.27/22,279.08 = 8,273.50/x
  3. Step 3: Cross multiply
    14,852.27x = 22,279.08 × 8,273.50
  4. Step 4: Simplify right side
    14,852.27x = 184,325,968.38
  5. Step 5: Solve for x
    x = 184,325,968.38/14,852.27
  6. Step 6: Final answer
    x = 12,410.63

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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.