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Finding the Fourth Proportional to 13,985.34, 19,299.78 and 7,611.90

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Solution

The fourth proportional to 13,985.34, 19,299.78 and 7,611.90 is: 10,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.34 : 19,299.78 = 7,611.90 : x
  2. Step 2: Convert to fraction form
    13,985.34/19,299.78 = 7,611.90/x
  3. Step 3: Cross multiply
    13,985.34x = 19,299.78 × 7,611.90
  4. Step 4: Simplify right side
    13,985.34x = 146,907,995.38
  5. Step 5: Solve for x
    x = 146,907,995.38/13,985.34
  6. Step 6: Final answer
    x = 10,504.43

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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.