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Finding the Fourth Proportional to 13,336.21, 20,005.46 and 3,475.47

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Solution

The fourth proportional to 13,336.21, 20,005.46 and 3,475.47 is: 5,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,336.21 : 20,005.46 = 3,475.47 : x
  2. Step 2: Convert to fraction form
    13,336.21/20,005.46 = 3,475.47/x
  3. Step 3: Cross multiply
    13,336.21x = 20,005.46 × 3,475.47
  4. Step 4: Simplify right side
    13,336.21x = 69,528,358.69
  5. Step 5: Solve for x
    x = 69,528,358.69/13,336.21
  6. Step 6: Final answer
    x = 5,213.50

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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.