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Finding the Fourth Proportional to 21,782.58, 30,061.74 and 12,351.78

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Solution

The fourth proportional to 21,782.58, 30,061.74 and 12,351.78 is: 17,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.58 : 30,061.74 = 12,351.78 : x
  2. Step 2: Convert to fraction form
    21,782.58/30,061.74 = 12,351.78/x
  3. Step 3: Cross multiply
    21,782.58x = 30,061.74 × 12,351.78
  4. Step 4: Simplify right side
    21,782.58x = 371,315,998.90
  5. Step 5: Solve for x
    x = 371,315,998.90/21,782.58
  6. Step 6: Final answer
    x = 17,046.47

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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.