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Finding the Fourth Proportional to 14,969.16, 20,665.35 and 11,604.42

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Solution

The fourth proportional to 14,969.16, 20,665.35 and 11,604.42 is: 16,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.16 : 20,665.35 = 11,604.42 : x
  2. Step 2: Convert to fraction form
    14,969.16/20,665.35 = 11,604.42/x
  3. Step 3: Cross multiply
    14,969.16x = 20,665.35 × 11,604.42
  4. Step 4: Simplify right side
    14,969.16x = 239,809,400.85
  5. Step 5: Solve for x
    x = 239,809,400.85/14,969.16
  6. Step 6: Final answer
    x = 16,020.23

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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.