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Finding the Fourth Proportional to 13,042.72, 19,568.32 and 5,649.44

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Solution

The fourth proportional to 13,042.72, 19,568.32 and 5,649.44 is: 8,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.72 : 19,568.32 = 5,649.44 : x
  2. Step 2: Convert to fraction form
    13,042.72/19,568.32 = 5,649.44/x
  3. Step 3: Cross multiply
    13,042.72x = 19,568.32 × 5,649.44
  4. Step 4: Simplify right side
    13,042.72x = 110,550,049.74
  5. Step 5: Solve for x
    x = 110,550,049.74/13,042.72
  6. Step 6: Final answer
    x = 8,476.00

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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.