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Finding the Fourth Proportional to 13,459.50, 20,179.62 and 6,341.22

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Solution

The fourth proportional to 13,459.50, 20,179.62 and 6,341.22 is: 9,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.50 : 20,179.62 = 6,341.22 : x
  2. Step 2: Convert to fraction form
    13,459.50/20,179.62 = 6,341.22/x
  3. Step 3: Cross multiply
    13,459.50x = 20,179.62 × 6,341.22
  4. Step 4: Simplify right side
    13,459.50x = 127,963,409.94
  5. Step 5: Solve for x
    x = 127,963,409.94/13,459.50
  6. Step 6: Final answer
    x = 9,507.29

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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.