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Finding the Fourth Proportional to 14,446.80, 21,664.80 and 10,051.20

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Solution

The fourth proportional to 14,446.80, 21,664.80 and 10,051.20 is: 15,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.80 : 21,664.80 = 10,051.20 : x
  2. Step 2: Convert to fraction form
    14,446.80/21,664.80 = 10,051.20/x
  3. Step 3: Cross multiply
    14,446.80x = 21,664.80 × 10,051.20
  4. Step 4: Simplify right side
    14,446.80x = 217,757,237.76
  5. Step 5: Solve for x
    x = 217,757,237.76/14,446.80
  6. Step 6: Final answer
    x = 15,073.04

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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.