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Finding the Fourth Proportional to 13,409.64, 18,507.50 and 7,443.23

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Solution

The fourth proportional to 13,409.64, 18,507.50 and 7,443.23 is: 10,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.64 : 18,507.50 = 7,443.23 : x
  2. Step 2: Convert to fraction form
    13,409.64/18,507.50 = 7,443.23/x
  3. Step 3: Cross multiply
    13,409.64x = 18,507.50 × 7,443.23
  4. Step 4: Simplify right side
    13,409.64x = 137,755,477.38
  5. Step 5: Solve for x
    x = 137,755,477.38/13,409.64
  6. Step 6: Final answer
    x = 10,272.87

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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.