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Finding the Fourth Proportional to 21,584.25, 29,784.10 and 15,922.06

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Solution

The fourth proportional to 21,584.25, 29,784.10 and 15,922.06 is: 21,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.25 : 29,784.10 = 15,922.06 : x
  2. Step 2: Convert to fraction form
    21,584.25/29,784.10 = 15,922.06/x
  3. Step 3: Cross multiply
    21,584.25x = 29,784.10 × 15,922.06
  4. Step 4: Simplify right side
    21,584.25x = 474,224,227.25
  5. Step 5: Solve for x
    x = 474,224,227.25/21,584.25
  6. Step 6: Final answer
    x = 21,970.85

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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.