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Finding the Fourth Proportional to 13,101.62, 19,643.32 and 8,103.42

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Solution

The fourth proportional to 13,101.62, 19,643.32 and 8,103.42 is: 12,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.62 : 19,643.32 = 8,103.42 : x
  2. Step 2: Convert to fraction form
    13,101.62/19,643.32 = 8,103.42/x
  3. Step 3: Cross multiply
    13,101.62x = 19,643.32 × 8,103.42
  4. Step 4: Simplify right side
    13,101.62x = 159,178,051.90
  5. Step 5: Solve for x
    x = 159,178,051.90/13,101.62
  6. Step 6: Final answer
    x = 12,149.49

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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.