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Finding the Fourth Proportional to 21,411.84, 31,999.11 and 17,205.52

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Solution

The fourth proportional to 21,411.84, 31,999.11 and 17,205.52 is: 25,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.84 : 31,999.11 = 17,205.52 : x
  2. Step 2: Convert to fraction form
    21,411.84/31,999.11 = 17,205.52/x
  3. Step 3: Cross multiply
    21,411.84x = 31,999.11 × 17,205.52
  4. Step 4: Simplify right side
    21,411.84x = 550,561,327.09
  5. Step 5: Solve for x
    x = 550,561,327.09/21,411.84
  6. Step 6: Final answer
    x = 25,712.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.