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Finding the Fourth Proportional to 13,076.19, 18,042.89 and 7,409.76

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Solution

The fourth proportional to 13,076.19, 18,042.89 and 7,409.76 is: 10,224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.19 : 18,042.89 = 7,409.76 : x
  2. Step 2: Convert to fraction form
    13,076.19/18,042.89 = 7,409.76/x
  3. Step 3: Cross multiply
    13,076.19x = 18,042.89 × 7,409.76
  4. Step 4: Simplify right side
    13,076.19x = 133,693,447.56
  5. Step 5: Solve for x
    x = 133,693,447.56/13,076.19
  6. Step 6: Final answer
    x = 10,224.19

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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.