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Finding the Fourth Proportional to 14,644.30, 21,934.05 and 12,052.30

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Solution

The fourth proportional to 14,644.30, 21,934.05 and 12,052.30 is: 18,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.30 : 21,934.05 = 12,052.30 : x
  2. Step 2: Convert to fraction form
    14,644.30/21,934.05 = 12,052.30/x
  3. Step 3: Cross multiply
    14,644.30x = 21,934.05 × 12,052.30
  4. Step 4: Simplify right side
    14,644.30x = 264,355,750.82
  5. Step 5: Solve for x
    x = 264,355,750.82/14,644.30
  6. Step 6: Final answer
    x = 18,051.78

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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.