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Finding the Fourth Proportional to 25,778.40, 38,645.10 and 9,994.20

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Solution

The fourth proportional to 25,778.40, 38,645.10 and 9,994.20 is: 14,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.40 : 38,645.10 = 9,994.20 : x
  2. Step 2: Convert to fraction form
    25,778.40/38,645.10 = 9,994.20/x
  3. Step 3: Cross multiply
    25,778.40x = 38,645.10 × 9,994.20
  4. Step 4: Simplify right side
    25,778.40x = 386,226,858.42
  5. Step 5: Solve for x
    x = 386,226,858.42/25,778.40
  6. Step 6: Final answer
    x = 14,982.58

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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.