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Finding the Fourth Proportional to 14,053.08, 21,091.74 and 7,819.32

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Solution

The fourth proportional to 14,053.08, 21,091.74 and 7,819.32 is: 11,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.08 : 21,091.74 = 7,819.32 : x
  2. Step 2: Convert to fraction form
    14,053.08/21,091.74 = 7,819.32/x
  3. Step 3: Cross multiply
    14,053.08x = 21,091.74 × 7,819.32
  4. Step 4: Simplify right side
    14,053.08x = 164,923,064.42
  5. Step 5: Solve for x
    x = 164,923,064.42/14,053.08
  6. Step 6: Final answer
    x = 11,735.72

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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.