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Finding the Fourth Proportional to 25,384.63, 35,012.97 and 17,715.09

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Solution

The fourth proportional to 25,384.63, 35,012.97 and 17,715.09 is: 24,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.63 : 35,012.97 = 17,715.09 : x
  2. Step 2: Convert to fraction form
    25,384.63/35,012.97 = 17,715.09/x
  3. Step 3: Cross multiply
    25,384.63x = 35,012.97 × 17,715.09
  4. Step 4: Simplify right side
    25,384.63x = 620,257,914.72
  5. Step 5: Solve for x
    x = 620,257,914.72/25,384.63
  6. Step 6: Final answer
    x = 24,434.39

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Why These Related Problems?

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