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Finding the Fourth Proportional to 11,833.34, 17,762.31 and 8,716.86

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Solution

The fourth proportional to 11,833.34, 17,762.31 and 8,716.86 is: 13,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.34 : 17,762.31 = 8,716.86 : x
  2. Step 2: Convert to fraction form
    11,833.34/17,762.31 = 8,716.86/x
  3. Step 3: Cross multiply
    11,833.34x = 17,762.31 × 8,716.86
  4. Step 4: Simplify right side
    11,833.34x = 154,831,569.55
  5. Step 5: Solve for x
    x = 154,831,569.55/11,833.34
  6. Step 6: Final answer
    x = 13,084.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.