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Finding the Fourth Proportional to 13,232.38, 19,853.70 and 5,842.48

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Solution

The fourth proportional to 13,232.38, 19,853.70 and 5,842.48 is: 8,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.38 : 19,853.70 = 5,842.48 : x
  2. Step 2: Convert to fraction form
    13,232.38/19,853.70 = 5,842.48/x
  3. Step 3: Cross multiply
    13,232.38x = 19,853.70 × 5,842.48
  4. Step 4: Simplify right side
    13,232.38x = 115,994,845.18
  5. Step 5: Solve for x
    x = 115,994,845.18/13,232.38
  6. Step 6: Final answer
    x = 8,765.99

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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.