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Finding the Fourth Proportional to 21,591.42, 29,795.01 and 12,159.38

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Solution

The fourth proportional to 21,591.42, 29,795.01 and 12,159.38 is: 16,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,591.42 : 29,795.01 = 12,159.38 : x
  2. Step 2: Convert to fraction form
    21,591.42/29,795.01 = 12,159.38/x
  3. Step 3: Cross multiply
    21,591.42x = 29,795.01 × 12,159.38
  4. Step 4: Simplify right side
    21,591.42x = 362,288,699.72
  5. Step 5: Solve for x
    x = 362,288,699.72/21,591.42
  6. Step 6: Final answer
    x = 16,779.29

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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.