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Finding the Fourth Proportional to 19,649.20, 29,480.84 and 9,787.60

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Solution

The fourth proportional to 19,649.20, 29,480.84 and 9,787.60 is: 14,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.20 : 29,480.84 = 9,787.60 : x
  2. Step 2: Convert to fraction form
    19,649.20/29,480.84 = 9,787.60/x
  3. Step 3: Cross multiply
    19,649.20x = 29,480.84 × 9,787.60
  4. Step 4: Simplify right side
    19,649.20x = 288,546,669.58
  5. Step 5: Solve for x
    x = 288,546,669.58/19,649.20
  6. Step 6: Final answer
    x = 14,684.91

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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.