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Finding the Fourth Proportional to 14,388.24, 19,856.16 and 8,100.84

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Solution

The fourth proportional to 14,388.24, 19,856.16 and 8,100.84 is: 11,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388.24 : 19,856.16 = 8,100.84 : x
  2. Step 2: Convert to fraction form
    14,388.24/19,856.16 = 8,100.84/x
  3. Step 3: Cross multiply
    14,388.24x = 19,856.16 × 8,100.84
  4. Step 4: Simplify right side
    14,388.24x = 160,851,575.17
  5. Step 5: Solve for x
    x = 160,851,575.17/14,388.24
  6. Step 6: Final answer
    x = 11,179.38

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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.