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Finding the Fourth Proportional to 14,933.19, 22,404.89 and 9,380.04

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Solution

The fourth proportional to 14,933.19, 22,404.89 and 9,380.04 is: 14,073.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,933.19 : 22,404.89 = 9,380.04 : x
  2. Step 2: Convert to fraction form
    14,933.19/22,404.89 = 9,380.04/x
  3. Step 3: Cross multiply
    14,933.19x = 22,404.89 × 9,380.04
  4. Step 4: Simplify right side
    14,933.19x = 210,158,717.50
  5. Step 5: Solve for x
    x = 210,158,717.50/14,933.19
  6. Step 6: Final answer
    x = 14,073.26

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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.