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Finding the Fourth Proportional to 18,771.50, 25,905.48 and 10,388

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Solution

The fourth proportional to 18,771.50, 25,905.48 and 10,388 is: 14,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,771.50 : 25,905.48 = 10,388 : x
  2. Step 2: Convert to fraction form
    18,771.50/25,905.48 = 10,388/x
  3. Step 3: Cross multiply
    18,771.50x = 25,905.48 × 10,388
  4. Step 4: Simplify right side
    18,771.50x = 269,106,126.24
  5. Step 5: Solve for x
    x = 269,106,126.24/18,771.50
  6. Step 6: Final answer
    x = 14,335.89

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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.