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Finding the Fourth Proportional to 13,543.33, 18,689.83 and 7,574.61

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Solution

The fourth proportional to 13,543.33, 18,689.83 and 7,574.61 is: 10,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.33 : 18,689.83 = 7,574.61 : x
  2. Step 2: Convert to fraction form
    13,543.33/18,689.83 = 7,574.61/x
  3. Step 3: Cross multiply
    13,543.33x = 18,689.83 × 7,574.61
  4. Step 4: Simplify right side
    13,543.33x = 141,568,143.38
  5. Step 5: Solve for x
    x = 141,568,143.38/13,543.33
  6. Step 6: Final answer
    x = 10,452.98

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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.