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Finding the Fourth Proportional to 21,337.97, 29,446.74 and 14,180.00

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Solution

The fourth proportional to 21,337.97, 29,446.74 and 14,180.00 is: 19,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337.97 : 29,446.74 = 14,180.00 : x
  2. Step 2: Convert to fraction form
    21,337.97/29,446.74 = 14,180.00/x
  3. Step 3: Cross multiply
    21,337.97x = 29,446.74 × 14,180.00
  4. Step 4: Simplify right side
    21,337.97x = 417,554,625.97
  5. Step 5: Solve for x
    x = 417,554,625.97/21,337.97
  6. Step 6: Final answer
    x = 19,568.62

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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.