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Finding the Fourth Proportional to 14,998.08, 20,697.16 and 8,284

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Solution

The fourth proportional to 14,998.08, 20,697.16 and 8,284 is: 11,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998.08 : 20,697.16 = 8,284 : x
  2. Step 2: Convert to fraction form
    14,998.08/20,697.16 = 8,284/x
  3. Step 3: Cross multiply
    14,998.08x = 20,697.16 × 8,284
  4. Step 4: Simplify right side
    14,998.08x = 171,455,273.44
  5. Step 5: Solve for x
    x = 171,455,273.44/14,998.08
  6. Step 6: Final answer
    x = 11,431.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.