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Finding the Fourth Proportional to 14,411.89, 19,904.79 and 9,687.97

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Solution

The fourth proportional to 14,411.89, 19,904.79 and 9,687.97 is: 13,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.89 : 19,904.79 = 9,687.97 : x
  2. Step 2: Convert to fraction form
    14,411.89/19,904.79 = 9,687.97/x
  3. Step 3: Cross multiply
    14,411.89x = 19,904.79 × 9,687.97
  4. Step 4: Simplify right side
    14,411.89x = 192,837,008.38
  5. Step 5: Solve for x
    x = 192,837,008.38/14,411.89
  6. Step 6: Final answer
    x = 13,380.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.