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Finding the Fourth Proportional to 21,158.70, 29,185.74 and 13,614.84

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Solution

The fourth proportional to 21,158.70, 29,185.74 and 13,614.84 is: 18,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.70 : 29,185.74 = 13,614.84 : x
  2. Step 2: Convert to fraction form
    21,158.70/29,185.74 = 13,614.84/x
  3. Step 3: Cross multiply
    21,158.70x = 29,185.74 × 13,614.84
  4. Step 4: Simplify right side
    21,158.70x = 397,359,180.38
  5. Step 5: Solve for x
    x = 397,359,180.38/21,158.70
  6. Step 6: Final answer
    x = 18,779.94

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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.