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Finding the Fourth Proportional to 14,865.71, 20,516.76 and 9,202.26

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Solution

The fourth proportional to 14,865.71, 20,516.76 and 9,202.26 is: 12,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.71 : 20,516.76 = 9,202.26 : x
  2. Step 2: Convert to fraction form
    14,865.71/20,516.76 = 9,202.26/x
  3. Step 3: Cross multiply
    14,865.71x = 20,516.76 × 9,202.26
  4. Step 4: Simplify right side
    14,865.71x = 188,800,559.88
  5. Step 5: Solve for x
    x = 188,800,559.88/14,865.71
  6. Step 6: Final answer
    x = 12,700.41

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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.