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Finding the Fourth Proportional to 13,478.52, 20,231.91 and 6,464.49

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Solution

The fourth proportional to 13,478.52, 20,231.91 and 6,464.49 is: 9,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.52 : 20,231.91 = 6,464.49 : x
  2. Step 2: Convert to fraction form
    13,478.52/20,231.91 = 6,464.49/x
  3. Step 3: Cross multiply
    13,478.52x = 20,231.91 × 6,464.49
  4. Step 4: Simplify right side
    13,478.52x = 130,788,904.01
  5. Step 5: Solve for x
    x = 130,788,904.01/13,478.52
  6. Step 6: Final answer
    x = 9,703.50

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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.