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Finding the Fourth Proportional to 13,951.98, 19,253.66 and 7,578.52

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Solution

The fourth proportional to 13,951.98, 19,253.66 and 7,578.52 is: 10,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.98 : 19,253.66 = 7,578.52 : x
  2. Step 2: Convert to fraction form
    13,951.98/19,253.66 = 7,578.52/x
  3. Step 3: Cross multiply
    13,951.98x = 19,253.66 × 7,578.52
  4. Step 4: Simplify right side
    13,951.98x = 145,914,247.38
  5. Step 5: Solve for x
    x = 145,914,247.38/13,951.98
  6. Step 6: Final answer
    x = 10,458.32

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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.