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Finding the Fourth Proportional to 13,934.88, 19,230.47 and 7,647.25

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Solution

The fourth proportional to 13,934.88, 19,230.47 and 7,647.25 is: 10,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.88 : 19,230.47 = 7,647.25 : x
  2. Step 2: Convert to fraction form
    13,934.88/19,230.47 = 7,647.25/x
  3. Step 3: Cross multiply
    13,934.88x = 19,230.47 × 7,647.25
  4. Step 4: Simplify right side
    13,934.88x = 147,060,211.71
  5. Step 5: Solve for x
    x = 147,060,211.71/13,934.88
  6. Step 6: Final answer
    x = 10,553.39

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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.