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Finding the Fourth Proportional to 13,431.11, 18,526.71 and 8,657.38

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Solution

The fourth proportional to 13,431.11, 18,526.71 and 8,657.38 is: 11,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.11 : 18,526.71 = 8,657.38 : x
  2. Step 2: Convert to fraction form
    13,431.11/18,526.71 = 8,657.38/x
  3. Step 3: Cross multiply
    13,431.11x = 18,526.71 × 8,657.38
  4. Step 4: Simplify right side
    13,431.11x = 160,392,632.70
  5. Step 5: Solve for x
    x = 160,392,632.70/13,431.11
  6. Step 6: Final answer
    x = 11,941.87

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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.