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Finding the Fourth Proportional to 21,782.54, 30,048.82 and 14,233.29

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Solution

The fourth proportional to 21,782.54, 30,048.82 and 14,233.29 is: 19,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.54 : 30,048.82 = 14,233.29 : x
  2. Step 2: Convert to fraction form
    21,782.54/30,048.82 = 14,233.29/x
  3. Step 3: Cross multiply
    21,782.54x = 30,048.82 × 14,233.29
  4. Step 4: Simplify right side
    21,782.54x = 427,693,569.22
  5. Step 5: Solve for x
    x = 427,693,569.22/21,782.54
  6. Step 6: Final answer
    x = 19,634.70

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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.