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Finding the Fourth Proportional to 15,116.64, 20,858.67 and 8,402.33

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Solution

The fourth proportional to 15,116.64, 20,858.67 and 8,402.33 is: 11,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.64 : 20,858.67 = 8,402.33 : x
  2. Step 2: Convert to fraction form
    15,116.64/20,858.67 = 8,402.33/x
  3. Step 3: Cross multiply
    15,116.64x = 20,858.67 × 8,402.33
  4. Step 4: Simplify right side
    15,116.64x = 175,261,324.41
  5. Step 5: Solve for x
    x = 175,261,324.41/15,116.64
  6. Step 6: Final answer
    x = 11,593.93

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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.