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Finding the Fourth Proportional to 13,194.35, 19,785.38 and 7,649.28

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Solution

The fourth proportional to 13,194.35, 19,785.38 and 7,649.28 is: 11,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.35 : 19,785.38 = 7,649.28 : x
  2. Step 2: Convert to fraction form
    13,194.35/19,785.38 = 7,649.28/x
  3. Step 3: Cross multiply
    13,194.35x = 19,785.38 × 7,649.28
  4. Step 4: Simplify right side
    13,194.35x = 151,343,873.28
  5. Step 5: Solve for x
    x = 151,343,873.28/13,194.35
  6. Step 6: Final answer
    x = 11,470.36

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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.