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Finding the Fourth Proportional to 12,649.50, 18,961.29 and 5,258.25

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Solution

The fourth proportional to 12,649.50, 18,961.29 and 5,258.25 is: 7,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.50 : 18,961.29 = 5,258.25 : x
  2. Step 2: Convert to fraction form
    12,649.50/18,961.29 = 5,258.25/x
  3. Step 3: Cross multiply
    12,649.50x = 18,961.29 × 5,258.25
  4. Step 4: Simplify right side
    12,649.50x = 99,703,203.14
  5. Step 5: Solve for x
    x = 99,703,203.14/12,649.50
  6. Step 6: Final answer
    x = 7,881.99

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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.