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Finding the Fourth Proportional to 14,744.34, 20,344.10 and 9,368.37

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Solution

The fourth proportional to 14,744.34, 20,344.10 and 9,368.37 is: 12,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.34 : 20,344.10 = 9,368.37 : x
  2. Step 2: Convert to fraction form
    14,744.34/20,344.10 = 9,368.37/x
  3. Step 3: Cross multiply
    14,744.34x = 20,344.10 × 9,368.37
  4. Step 4: Simplify right side
    14,744.34x = 190,591,009.28
  5. Step 5: Solve for x
    x = 190,591,009.28/14,744.34
  6. Step 6: Final answer
    x = 12,926.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.