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Finding the Fourth Proportional to 13,433.88, 18,538.38 and 7,465.40

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Solution

The fourth proportional to 13,433.88, 18,538.38 and 7,465.40 is: 10,302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.88 : 18,538.38 = 7,465.40 : x
  2. Step 2: Convert to fraction form
    13,433.88/18,538.38 = 7,465.40/x
  3. Step 3: Cross multiply
    13,433.88x = 18,538.38 × 7,465.40
  4. Step 4: Simplify right side
    13,433.88x = 138,396,329.36
  5. Step 5: Solve for x
    x = 138,396,329.36/13,433.88
  6. Step 6: Final answer
    x = 10,302.04

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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.