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Finding the Fourth Proportional to 25,994.25, 39,008.66 and 9,578.25

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Solution

The fourth proportional to 25,994.25, 39,008.66 and 9,578.25 is: 14,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.25 : 39,008.66 = 9,578.25 : x
  2. Step 2: Convert to fraction form
    25,994.25/39,008.66 = 9,578.25/x
  3. Step 3: Cross multiply
    25,994.25x = 39,008.66 × 9,578.25
  4. Step 4: Simplify right side
    25,994.25x = 373,634,649.75
  5. Step 5: Solve for x
    x = 373,634,649.75/25,994.25
  6. Step 6: Final answer
    x = 14,373.74

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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.