Home / 15,733.94-23,602.38-5,204

Finding the Fourth Proportional to 15,733.94, 23,602.38 and 5,204

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Solution

The fourth proportional to 15,733.94, 23,602.38 and 5,204 is: 7,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.94 : 23,602.38 = 5,204 : x
  2. Step 2: Convert to fraction form
    15,733.94/23,602.38 = 5,204/x
  3. Step 3: Cross multiply
    15,733.94x = 23,602.38 × 5,204
  4. Step 4: Simplify right side
    15,733.94x = 122,826,785.52
  5. Step 5: Solve for x
    x = 122,826,785.52/15,733.94
  6. Step 6: Final answer
    x = 7,806.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.