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Finding the Fourth Proportional to 13,334.50, 20,013.88 and 7,099.74

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Solution

The fourth proportional to 13,334.50, 20,013.88 and 7,099.74 is: 10,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,334.50 : 20,013.88 = 7,099.74 : x
  2. Step 2: Convert to fraction form
    13,334.50/20,013.88 = 7,099.74/x
  3. Step 3: Cross multiply
    13,334.50x = 20,013.88 × 7,099.74
  4. Step 4: Simplify right side
    13,334.50x = 142,093,344.39
  5. Step 5: Solve for x
    x = 142,093,344.39/13,334.50
  6. Step 6: Final answer
    x = 10,656.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.