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Finding the Fourth Proportional to 13,592.30, 20,390.48 and 4,826.48

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Solution

The fourth proportional to 13,592.30, 20,390.48 and 4,826.48 is: 7,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.30 : 20,390.48 = 4,826.48 : x
  2. Step 2: Convert to fraction form
    13,592.30/20,390.48 = 4,826.48/x
  3. Step 3: Cross multiply
    13,592.30x = 20,390.48 × 4,826.48
  4. Step 4: Simplify right side
    13,592.30x = 98,414,243.91
  5. Step 5: Solve for x
    x = 98,414,243.91/13,592.30
  6. Step 6: Final answer
    x = 7,240.44

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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.