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Finding the Fourth Proportional to 19,649.84, 29,473.86 and 7,963.16

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Solution

The fourth proportional to 19,649.84, 29,473.86 and 7,963.16 is: 11,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.84 : 29,473.86 = 7,963.16 : x
  2. Step 2: Convert to fraction form
    19,649.84/29,473.86 = 7,963.16/x
  3. Step 3: Cross multiply
    19,649.84x = 29,473.86 × 7,963.16
  4. Step 4: Simplify right side
    19,649.84x = 234,705,063.00
  5. Step 5: Solve for x
    x = 234,705,063.00/19,649.84
  6. Step 6: Final answer
    x = 11,944.38

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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.