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Finding the Fourth Proportional to 21,365.91, 29,462.31 and 14,661.33

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Solution

The fourth proportional to 21,365.91, 29,462.31 and 14,661.33 is: 20,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365.91 : 29,462.31 = 14,661.33 : x
  2. Step 2: Convert to fraction form
    21,365.91/29,462.31 = 14,661.33/x
  3. Step 3: Cross multiply
    21,365.91x = 29,462.31 × 14,661.33
  4. Step 4: Simplify right side
    21,365.91x = 431,956,649.47
  5. Step 5: Solve for x
    x = 431,956,649.47/21,365.91
  6. Step 6: Final answer
    x = 20,217.10

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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.