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Finding the Fourth Proportional to 16,241.42, 24,362.14 and 3,929.42

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Solution

The fourth proportional to 16,241.42, 24,362.14 and 3,929.42 is: 5,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.42 : 24,362.14 = 3,929.42 : x
  2. Step 2: Convert to fraction form
    16,241.42/24,362.14 = 3,929.42/x
  3. Step 3: Cross multiply
    16,241.42x = 24,362.14 × 3,929.42
  4. Step 4: Simplify right side
    16,241.42x = 95,729,060.51
  5. Step 5: Solve for x
    x = 95,729,060.51/16,241.42
  6. Step 6: Final answer
    x = 5,894.13

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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.