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Finding the Fourth Proportional to 18,256.05, 25,195.95 and 10,299

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Solution

The fourth proportional to 18,256.05, 25,195.95 and 10,299 is: 14,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256.05 : 25,195.95 = 10,299 : x
  2. Step 2: Convert to fraction form
    18,256.05/25,195.95 = 10,299/x
  3. Step 3: Cross multiply
    18,256.05x = 25,195.95 × 10,299
  4. Step 4: Simplify right side
    18,256.05x = 259,493,089.05
  5. Step 5: Solve for x
    x = 259,493,089.05/18,256.05
  6. Step 6: Final answer
    x = 14,214.09

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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.