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Finding the Fourth Proportional to 25,348.84, 38,025.29 and 7,578.20

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Solution

The fourth proportional to 25,348.84, 38,025.29 and 7,578.20 is: 11,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,348.84 : 38,025.29 = 7,578.20 : x
  2. Step 2: Convert to fraction form
    25,348.84/38,025.29 = 7,578.20/x
  3. Step 3: Cross multiply
    25,348.84x = 38,025.29 × 7,578.20
  4. Step 4: Simplify right side
    25,348.84x = 288,163,252.68
  5. Step 5: Solve for x
    x = 288,163,252.68/25,348.84
  6. Step 6: Final answer
    x = 11,367.91

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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.