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Finding the Fourth Proportional to 13,756.50, 18,984.38 and 7,469.28

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Solution

The fourth proportional to 13,756.50, 18,984.38 and 7,469.28 is: 10,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.50 : 18,984.38 = 7,469.28 : x
  2. Step 2: Convert to fraction form
    13,756.50/18,984.38 = 7,469.28/x
  3. Step 3: Cross multiply
    13,756.50x = 18,984.38 × 7,469.28
  4. Step 4: Simplify right side
    13,756.50x = 141,799,612.50
  5. Step 5: Solve for x
    x = 141,799,612.50/13,756.50
  6. Step 6: Final answer
    x = 10,307.83

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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.