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Finding the Fourth Proportional to 19,838.67, 29,743.42 and 9,457.71

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Solution

The fourth proportional to 19,838.67, 29,743.42 and 9,457.71 is: 14,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.67 : 29,743.42 = 9,457.71 : x
  2. Step 2: Convert to fraction form
    19,838.67/29,743.42 = 9,457.71/x
  3. Step 3: Cross multiply
    19,838.67x = 29,743.42 × 9,457.71
  4. Step 4: Simplify right side
    19,838.67x = 281,304,640.77
  5. Step 5: Solve for x
    x = 281,304,640.77/19,838.67
  6. Step 6: Final answer
    x = 14,179.61

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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.