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Finding the Fourth Proportional to 14,551.30, 21,809.89 and 6,743.71

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Solution

The fourth proportional to 14,551.30, 21,809.89 and 6,743.71 is: 10,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.30 : 21,809.89 = 6,743.71 : x
  2. Step 2: Convert to fraction form
    14,551.30/21,809.89 = 6,743.71/x
  3. Step 3: Cross multiply
    14,551.30x = 21,809.89 × 6,743.71
  4. Step 4: Simplify right side
    14,551.30x = 147,079,573.29
  5. Step 5: Solve for x
    x = 147,079,573.29/14,551.30
  6. Step 6: Final answer
    x = 10,107.66

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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.