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Finding the Fourth Proportional to 13,402.05, 18,495.44 and 7,433.36

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Solution

The fourth proportional to 13,402.05, 18,495.44 and 7,433.36 is: 10,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.05 : 18,495.44 = 7,433.36 : x
  2. Step 2: Convert to fraction form
    13,402.05/18,495.44 = 7,433.36/x
  3. Step 3: Cross multiply
    13,402.05x = 18,495.44 × 7,433.36
  4. Step 4: Simplify right side
    13,402.05x = 137,483,263.88
  5. Step 5: Solve for x
    x = 137,483,263.88/13,402.05
  6. Step 6: Final answer
    x = 10,258.38

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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.