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Finding the Fourth Proportional to 13,123.84, 19,676.32 and 6,194.56

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Solution

The fourth proportional to 13,123.84, 19,676.32 and 6,194.56 is: 9,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.84 : 19,676.32 = 6,194.56 : x
  2. Step 2: Convert to fraction form
    13,123.84/19,676.32 = 6,194.56/x
  3. Step 3: Cross multiply
    13,123.84x = 19,676.32 × 6,194.56
  4. Step 4: Simplify right side
    13,123.84x = 121,886,144.82
  5. Step 5: Solve for x
    x = 121,886,144.82/13,123.84
  6. Step 6: Final answer
    x = 9,287.38

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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.