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Finding the Fourth Proportional to 13,807.64, 20,710.36 and 4,445.23

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Solution

The fourth proportional to 13,807.64, 20,710.36 and 4,445.23 is: 6,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.64 : 20,710.36 = 4,445.23 : x
  2. Step 2: Convert to fraction form
    13,807.64/20,710.36 = 4,445.23/x
  3. Step 3: Cross multiply
    13,807.64x = 20,710.36 × 4,445.23
  4. Step 4: Simplify right side
    13,807.64x = 92,062,293.69
  5. Step 5: Solve for x
    x = 92,062,293.69/13,807.64
  6. Step 6: Final answer
    x = 6,667.49

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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.