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Finding the Fourth Proportional to 13,756.38, 18,999.42 and 9,272.40

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Solution

The fourth proportional to 13,756.38, 18,999.42 and 9,272.40 is: 12,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.38 : 18,999.42 = 9,272.40 : x
  2. Step 2: Convert to fraction form
    13,756.38/18,999.42 = 9,272.40/x
  3. Step 3: Cross multiply
    13,756.38x = 18,999.42 × 9,272.40
  4. Step 4: Simplify right side
    13,756.38x = 176,170,222.01
  5. Step 5: Solve for x
    x = 176,170,222.01/13,756.38
  6. Step 6: Final answer
    x = 12,806.44

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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.