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Finding the Fourth Proportional to 21,455.26, 29,614.74 and 13,902

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Solution

The fourth proportional to 21,455.26, 29,614.74 and 13,902 is: 19,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,455.26 : 29,614.74 = 13,902 : x
  2. Step 2: Convert to fraction form
    21,455.26/29,614.74 = 13,902/x
  3. Step 3: Cross multiply
    21,455.26x = 29,614.74 × 13,902
  4. Step 4: Simplify right side
    21,455.26x = 411,704,115.48
  5. Step 5: Solve for x
    x = 411,704,115.48/21,455.26
  6. Step 6: Final answer
    x = 19,188.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.