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Finding the Fourth Proportional to 21,781.94, 30,024.14 and 14,696.06

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Solution

The fourth proportional to 21,781.94, 30,024.14 and 14,696.06 is: 20,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.94 : 30,024.14 = 14,696.06 : x
  2. Step 2: Convert to fraction form
    21,781.94/30,024.14 = 14,696.06/x
  3. Step 3: Cross multiply
    21,781.94x = 30,024.14 × 14,696.06
  4. Step 4: Simplify right side
    21,781.94x = 441,236,562.89
  5. Step 5: Solve for x
    x = 441,236,562.89/21,781.94
  6. Step 6: Final answer
    x = 20,256.99

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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.