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Finding the Fourth Proportional to 15,822.80, 21,828.60 and 9,531.56

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Solution

The fourth proportional to 15,822.80, 21,828.60 and 9,531.56 is: 13,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.80 : 21,828.60 = 9,531.56 : x
  2. Step 2: Convert to fraction form
    15,822.80/21,828.60 = 9,531.56/x
  3. Step 3: Cross multiply
    15,822.80x = 21,828.60 × 9,531.56
  4. Step 4: Simplify right side
    15,822.80x = 208,060,610.62
  5. Step 5: Solve for x
    x = 208,060,610.62/15,822.80
  6. Step 6: Final answer
    x = 13,149.42

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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.