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Finding the Fourth Proportional to 13,135.78, 18,129.51 and 7,833.70

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Solution

The fourth proportional to 13,135.78, 18,129.51 and 7,833.70 is: 10,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.78 : 18,129.51 = 7,833.70 : x
  2. Step 2: Convert to fraction form
    13,135.78/18,129.51 = 7,833.70/x
  3. Step 3: Cross multiply
    13,135.78x = 18,129.51 × 7,833.70
  4. Step 4: Simplify right side
    13,135.78x = 142,021,142.49
  5. Step 5: Solve for x
    x = 142,021,142.49/13,135.78
  6. Step 6: Final answer
    x = 10,811.78

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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.