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Finding the Fourth Proportional to 25,782.50, 35,579.85 and 14,604.50

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Solution

The fourth proportional to 25,782.50, 35,579.85 and 14,604.50 is: 20,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.50 : 35,579.85 = 14,604.50 : x
  2. Step 2: Convert to fraction form
    25,782.50/35,579.85 = 14,604.50/x
  3. Step 3: Cross multiply
    25,782.50x = 35,579.85 × 14,604.50
  4. Step 4: Simplify right side
    25,782.50x = 519,625,919.33
  5. Step 5: Solve for x
    x = 519,625,919.33/25,782.50
  6. Step 6: Final answer
    x = 20,154.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.