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Finding the Fourth Proportional to 21,574.48, 29,781.99 and 14,505

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Solution

The fourth proportional to 21,574.48, 29,781.99 and 14,505 is: 20,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.48 : 29,781.99 = 14,505 : x
  2. Step 2: Convert to fraction form
    21,574.48/29,781.99 = 14,505/x
  3. Step 3: Cross multiply
    21,574.48x = 29,781.99 × 14,505
  4. Step 4: Simplify right side
    21,574.48x = 431,987,764.95
  5. Step 5: Solve for x
    x = 431,987,764.95/21,574.48
  6. Step 6: Final answer
    x = 20,023.10

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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.