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Finding the Fourth Proportional to 21,765.98, 30,031.80 and 13,805.30

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Solution

The fourth proportional to 21,765.98, 30,031.80 and 13,805.30 is: 19,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.98 : 30,031.80 = 13,805.30 : x
  2. Step 2: Convert to fraction form
    21,765.98/30,031.80 = 13,805.30/x
  3. Step 3: Cross multiply
    21,765.98x = 30,031.80 × 13,805.30
  4. Step 4: Simplify right side
    21,765.98x = 414,597,858.38
  5. Step 5: Solve for x
    x = 414,597,858.38/21,765.98
  6. Step 6: Final answer
    x = 19,047.98

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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.