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Finding the Fourth Proportional to 18,783.88, 25,924.50 and 10,825.90

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Solution

The fourth proportional to 18,783.88, 25,924.50 and 10,825.90 is: 14,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,783.88 : 25,924.50 = 10,825.90 : x
  2. Step 2: Convert to fraction form
    18,783.88/25,924.50 = 10,825.90/x
  3. Step 3: Cross multiply
    18,783.88x = 25,924.50 × 10,825.90
  4. Step 4: Simplify right side
    18,783.88x = 280,656,044.55
  5. Step 5: Solve for x
    x = 280,656,044.55/18,783.88
  6. Step 6: Final answer
    x = 14,941.32

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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.