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Finding the Fourth Proportional to 14,315.66, 19,755.65 and 7,942.38

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Solution

The fourth proportional to 14,315.66, 19,755.65 and 7,942.38 is: 10,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315.66 : 19,755.65 = 7,942.38 : x
  2. Step 2: Convert to fraction form
    14,315.66/19,755.65 = 7,942.38/x
  3. Step 3: Cross multiply
    14,315.66x = 19,755.65 × 7,942.38
  4. Step 4: Simplify right side
    14,315.66x = 156,906,825.22
  5. Step 5: Solve for x
    x = 156,906,825.22/14,315.66
  6. Step 6: Final answer
    x = 10,960.50

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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.