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Finding the Fourth Proportional to 14,071.62, 19,419.16 and 8,102.34

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Solution

The fourth proportional to 14,071.62, 19,419.16 and 8,102.34 is: 11,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.62 : 19,419.16 = 8,102.34 : x
  2. Step 2: Convert to fraction form
    14,071.62/19,419.16 = 8,102.34/x
  3. Step 3: Cross multiply
    14,071.62x = 19,419.16 × 8,102.34
  4. Step 4: Simplify right side
    14,071.62x = 157,340,636.83
  5. Step 5: Solve for x
    x = 157,340,636.83/14,071.62
  6. Step 6: Final answer
    x = 11,181.42

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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.