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Finding the Fourth Proportional to 21,577.38, 29,779.38 and 12,147.72

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Solution

The fourth proportional to 21,577.38, 29,779.38 and 12,147.72 is: 16,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.38 : 29,779.38 = 12,147.72 : x
  2. Step 2: Convert to fraction form
    21,577.38/29,779.38 = 12,147.72/x
  3. Step 3: Cross multiply
    21,577.38x = 29,779.38 × 12,147.72
  4. Step 4: Simplify right side
    21,577.38x = 361,751,570.01
  5. Step 5: Solve for x
    x = 361,751,570.01/21,577.38
  6. Step 6: Final answer
    x = 16,765.31

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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.