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Finding the Fourth Proportional to 13,431.02, 18,535.02 and 7,463.24

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Solution

The fourth proportional to 13,431.02, 18,535.02 and 7,463.24 is: 10,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.02 : 18,535.02 = 7,463.24 : x
  2. Step 2: Convert to fraction form
    13,431.02/18,535.02 = 7,463.24/x
  3. Step 3: Cross multiply
    13,431.02x = 18,535.02 × 7,463.24
  4. Step 4: Simplify right side
    13,431.02x = 138,331,302.66
  5. Step 5: Solve for x
    x = 138,331,302.66/13,431.02
  6. Step 6: Final answer
    x = 10,299.39

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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.