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Finding the Fourth Proportional to 15,708.54, 21,677.41 and 8,538.28

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Solution

The fourth proportional to 15,708.54, 21,677.41 and 8,538.28 is: 11,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.54 : 21,677.41 = 8,538.28 : x
  2. Step 2: Convert to fraction form
    15,708.54/21,677.41 = 8,538.28/x
  3. Step 3: Cross multiply
    15,708.54x = 21,677.41 × 8,538.28
  4. Step 4: Simplify right side
    15,708.54x = 185,087,796.25
  5. Step 5: Solve for x
    x = 185,087,796.25/15,708.54
  6. Step 6: Final answer
    x = 11,782.62

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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.