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Finding the Fourth Proportional to 19,750.14, 29,625.24 and 7,909.25

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Solution

The fourth proportional to 19,750.14, 29,625.24 and 7,909.25 is: 11,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,750.14 : 29,625.24 = 7,909.25 : x
  2. Step 2: Convert to fraction form
    19,750.14/29,625.24 = 7,909.25/x
  3. Step 3: Cross multiply
    19,750.14x = 29,625.24 × 7,909.25
  4. Step 4: Simplify right side
    19,750.14x = 234,313,281.34
  5. Step 5: Solve for x
    x = 234,313,281.34/19,750.14
  6. Step 6: Final answer
    x = 11,863.88

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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.