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Finding the Fourth Proportional to 14,919.14, 20,580.30 and 9,251.96

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Solution

The fourth proportional to 14,919.14, 20,580.30 and 9,251.96 is: 12,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.14 : 20,580.30 = 9,251.96 : x
  2. Step 2: Convert to fraction form
    14,919.14/20,580.30 = 9,251.96/x
  3. Step 3: Cross multiply
    14,919.14x = 20,580.30 × 9,251.96
  4. Step 4: Simplify right side
    14,919.14x = 190,408,112.39
  5. Step 5: Solve for x
    x = 190,408,112.39/14,919.14
  6. Step 6: Final answer
    x = 12,762.67

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1.5x scale

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.